A287998 Expansion of 1/((1-x)(1-x^3)(1-x^5) ... (1-x^15)).

1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 27, 32, 37, 45, 52, 61, 72, 83, 96, 111, 128, 146, 168, 191, 217, 247, 279, 314, 355, 398, 446, 501, 558, 622, 693, 770, 853, 946, 1045, 1153, 1273, 1400, 1538, 1690, 1852, 2027, 2219, 2422, 2642, 2881, 3136, 3409

Offset

0,4

Comments

Number of partitions of n into odd parts less than or equal to 15.

Number of partitions (d1,d2,...,d8) of n such that 0 <= d1/1 <= d2/2 <= ... <= d8/8.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, -1, 1, -1, 1, -2, 2, -2, 2, -3, 3, -3, 4, -5, 4, -4, 5, -5, 6, -5, 6, -7, 7, -6, 7, -8, 7, -7, 7, -8, 7, -7, 7, -8, 7, -6, 7, -7, 6, -5, 6, -5, 5, -4, 4, -5, 4, -3, 3, -3, 2, -2, 2, -2, 1, -1, 1, -1, 1, 0, 1, -1).

Crossrefs

Cf. A259094.

Sequence in context: A352165 A034145 A034146 * A034147 A034148 A288000

Adjacent sequences: A287995 A287996 A287997 * A287999 A288000 A288001

Keyword

nonn

Author

Seiichi Manyama, Jun 04 2017

Status

approved