OFFSET
0,6
COMMENTS
The Heinz numbers of these partitions are given by A268390.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..10000
FORMULA
G.f.: Sum_{i, j>0} x^(j*(2*i+1))/(1-x^j). - John Tyler Rascoe, Feb 04 2024
EXAMPLE
The a(3) = 1 through a(12) = 9 partitions (A = 10, B = 11):
(21) (31) (32) (42) (43) (53) (54) (64) (65) (75)
(41) (51) (52) (62) (63) (73) (74) (84)
(2211) (61) (71) (72) (82) (83) (93)
(3311) (81) (91) (92) (A2)
(222111) (3322) (A1) (B1)
(4411) (4422)
(5511)
(333111)
(22221111)
MATHEMATICA
Table[Sum[Floor[(d-1)/2], {d, Divisors[n]}], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Dec 01 2023
STATUS
approved