A Disarium number is an integer where the sum of each digit raised to the power of its position in the number, is equal to the number.



E.G.
135 is a Disarium number:

 11 + 32 + 53 == 1 + 9 + 125 == 135

There are a finite number of Disarium numbers.



Task
 Find and display the first 18 Disarium numbers.


Stretch
 Find and display all 20 Disarium numbers.


See also
 Geeks for Geeks - Disarium numbers
 OEIS:A032799 - Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...)
 Related task: Narcissistic decimal number
 Related task: Own digits power sum Which seems to be the same task as Narcissistic decimal number...




disarium?: function [x][
    j: 0
    psum: sum map digits x 'dig [
        j: j + 1
        dig ^ j
    ]
    return psum = x
]
 
cnt: 0
i: 0
while [cnt < 18][
    if disarium? i [
        print i
        cnt: cnt + 1
    ]
    i: i + 1
]