五角錐数
五角錐数（ごかくすいすう、英:pentagonal pyramidal number）は、五角形を底とするピラミッド状に配置された物体の数として表される図形数である。"n"番目の五角錐数は、1番目から"n"番目までの五角数の和に等しい。

最初のいくつかの五角錐数を以下に挙げる。
:1, 6, 18, 40, 75, 126, 196, 288, 405, 550, 726, 936, 1183, 1470, 1800, 2176, 2601, 3078, 3610, 4200, 4851, 5566, 6348, 7200, 8125, 9126 （）

"n"番目の五角錐数を表す式は
:formula_1
である。それゆえに、"n"番目の五角錐数は、"n2"と"n3"の相加平均に等しい。"n"番目の五角錐数は、"n"番目の三角数の"n"倍にもまた等しい。

五角錐数の母関数は
:formula_2
である。
Q127840
五角形
Concept
Q1130510
図形数
Concept
Q674928
五角数
Concept
Q199
1
Concept
Q23488
6
Concept
Q38712
18
Concept
Q42317
40
Concept
Q601660
75
Concept
Q223661
126
Concept
Q718403
196
Concept
Q959961
288
Concept
Q1048708
405
Concept
Q580012
550
Concept
Q3267287
726
Concept
Q4676596
936
Concept
Q241253
2601
Concept
Q11187978
5566
Concept
Q245102
三角数
Concept
Q860609
母関数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
Q2708903
五角錐数
Concept
2020-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
1
DATE
2020-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
1
DATE
2020-06-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
6
DATE
2018-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
18
DATE
2040-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
40
DATE
1975-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
75
DATE
2012-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
12
DATE
2020-06-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
6
DATE
2019-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
19
DATE
2020-06-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
6
DATE
2028-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
28
DATE
2020-08-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
8
DATE
2040-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
40
DATE
2020-05-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
5
DATE
2055-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
55
DATE
1972-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
72
DATE
2020-06-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
6
DATE
1993-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
93
DATE
2020-06-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
6
DATE
2011-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
11
DATE
1983-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
83
DATE
2014-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
14
DATE
1970-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
70
DATE
2018-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
18
DATE
2000-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
00
DATE
2021-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
21
DATE
1976-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
76
DATE
2026-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
26
DATE
2001-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
01
DATE
2030-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
30
DATE
1978-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
78
DATE
2036-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
36
DATE
2010-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
10
DATE
2042-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
42
DATE
2000-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
00
DATE
2048-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
48
DATE
2051-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
51
DATE
2055-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
55
DATE
2066-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
66
DATE
2063-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
63
DATE
2048-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
48
DATE
1972-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
72
DATE
2000-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
00
DATE
1981-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
81
DATE
2025-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
25
DATE
1991-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
91
DATE
2026-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
26
DATE
2020-01-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
1
DATE
2020-02-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
2
DATE
2020-03-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
3
DATE
2020-02-01T00:00:00Z^^http://www.w3.org/2001/XMLSchema#dateTime
2
DATE
+1^^http://www.w3.org/2001/XMLSchema#decimal
1
NUMBER
+1^^http://www.w3.org/2001/XMLSchema#decimal
1
NUMBER
+1183^^http://www.w3.org/2001/XMLSchema#decimal
1183
NUMBER
+1470^^http://www.w3.org/2001/XMLSchema#decimal
1470
NUMBER
+1800^^http://www.w3.org/2001/XMLSchema#decimal
1800
NUMBER
+2176^^http://www.w3.org/2001/XMLSchema#decimal
2176
NUMBER
+2601^^http://www.w3.org/2001/XMLSchema#decimal
2601
NUMBER
+3078^^http://www.w3.org/2001/XMLSchema#decimal
3078
NUMBER
+3610^^http://www.w3.org/2001/XMLSchema#decimal
3610
NUMBER
+4200^^http://www.w3.org/2001/XMLSchema#decimal
4200
NUMBER
+4851^^http://www.w3.org/2001/XMLSchema#decimal
4851
NUMBER
+5566^^http://www.w3.org/2001/XMLSchema#decimal
5566
NUMBER
+6348^^http://www.w3.org/2001/XMLSchema#decimal
6348
NUMBER
+7200^^http://www.w3.org/2001/XMLSchema#decimal
7200
NUMBER
+8125^^http://www.w3.org/2001/XMLSchema#decimal
8125
NUMBER
+9126^^http://www.w3.org/2001/XMLSchema#decimal
9126
NUMBER
+1^^http://www.w3.org/2001/XMLSchema#decimal
1
NUMBER
+2^^http://www.w3.org/2001/XMLSchema#decimal
2
NUMBER
+3^^http://www.w3.org/2001/XMLSchema#decimal
3
NUMBER
+2^^http://www.w3.org/2001/XMLSchema#decimal
2
NUMBER
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of
instance of