A287997 Expansion of 1/((1-x)(1-x^3)(1-x^5) ... (1-x^13)).

1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 26, 31, 36, 43, 50, 58, 68, 78, 90, 103, 118, 134, 153, 173, 195, 220, 247, 277, 310, 346, 385, 429, 475, 526, 582, 642, 707, 778, 854, 936, 1026, 1121, 1224, 1335, 1454, 1581, 1718, 1864, 2020, 2188, 2366, 2556

Offset

0,4

Comments

Number of partitions of n into odd parts less than or equal to 13.

Number of partitions (d1,d2,...,d7) of n such that 0 <= d1/1 <= d2/2 <= ... <= d7/7.

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, 3, -4, 4, -3, 4, -4, 5, -4, 4, -5, 5, -4, 4, -5, 4, -4, 3, -4, 4, -3, 3, -3, 3, -2, 2, -2, 2, -1, 1, -1, 1, -1, 0, -1, 1).

Crossrefs

Cf. A259094.

Sequence in context: A309999 A034144 A347586 * A352165 A034145 A034146

Adjacent sequences: A287994 A287995 A287996 * A287998 A287999 A288000

Keyword

nonn

Author

Seiichi Manyama, Jun 04 2017

Status

approved