A302855 Expansion of ((1 + 2 * Sum_{k>=1} q^(k^2))^16 - 1) / 32.

1, 15, 140, 911, 4398, 16436, 49400, 124815, 279557, 582066, 1147332, 2124340, 3692390, 6160008, 10052904, 15910799, 24151410, 35732555, 52543100, 75891378, 106006432, 145588860, 200348520, 272046644, 359002903, 468778746, 615548600, 799793800, 1014602070, 1277001048

Offset

1,2

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Formula

a(n) = A000152(n) / 32.

Crossrefs

Expansion of ((1 + 2 * Sum_{k>=1} q^(k^2))^(2^m) - 1) / 2^(m + 1): A002654 (m=1), A046897 (m=2), A008457 (m=3), this sequence (m=4), A302857 (m=5).

Cf. A000152, A186690.

Sequence in context: A175707 A123955 A027802 * A133716 A035330 A002803

Adjacent sequences: A302852 A302853 A302854 * A302856 A302857 A302858

Keyword

nonn

Author

Seiichi Manyama, Apr 14 2018

Status

approved