A288000 Expansion of 1/((1-x)(1-x^3)(1-x^5) ... (1-x^17)).

1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 27, 32, 38, 46, 53, 63, 74, 86, 100, 116, 134, 154, 178, 203, 232, 265, 301, 341, 387, 436, 492, 554, 621, 696, 779, 870, 969, 1080, 1199, 1331, 1476, 1632, 1803, 1991, 2193, 2414, 2655, 2914, 3196, 3502, 3832

Offset

0,4

Comments

Number of partitions of n into odd parts less than or equal to 17.

Number of partitions (d1,d2,...,d9) of n such that 0 <= d1/1 <= d2/2 <= ... <= d9/9.

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, 5, -5, 5, -6, 7, -6, 7, -8, 9, -8, 9, -10, 10, -10, 10, -12, 12, -11, 11, -13, 12, -12, 12, -13, 13, -12, 12, -12, 13, -11, 11, -12, 12, -10, 10, -10, 10, -9, 8, -9, 8, -7, 6, -7, 6, -5, 5, -5, 5, -4, 3, -3, 3, -2, 2, -2, 2, -1, 1, -1, 1, -1, 0, -1, 1).

Crossrefs

Cf. A259094.

Sequence in context: A287998 A034147 A034148 * A034149 A034150 A347587

Adjacent sequences: A287997 A287998 A287999 * A288001 A288002 A288003

Keyword

nonn

Author

Seiichi Manyama, Jun 04 2017

Status

approved