I. To determine whether high dose (HD)-trivalent influenza vaccine (TIV) compared with standard dose (SD)-quadrivalent inactivated influenza vaccine (QIV) will increase the probability of achieving a >= 4-fold rise in hemagglutination inhibition assay (HAI) titer, >= 1:40 HAI titer, or a higher geometric mean titer (GMT) titer to influenza A antigens in adult hematopoietic cell transplantation (HSCT) recipients.