A316718 Expansion of Product_{k=1..6} (1+x^(2*k-1))/(1-x^(2*k)).

1, 1, 1, 2, 3, 4, 5, 7, 10, 13, 16, 21, 28, 34, 41, 52, 65, 78, 93, 113, 137, 162, 189, 224, 266, 308, 355, 414, 480, 549, 626, 717, 820, 928, 1045, 1183, 1337, 1496, 1670, 1871, 2091, 2321, 2571, 2853, 3161, 3484, 3830, 4218, 4640, 5078, 5549, 6072, 6633, 7219

Offset: 0

Author

Seiichi Manyama, Jul 11 2018

Keywords

• nonn

Links

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

Crossrefs

Product_{k=1..b} (1+x^(2*k-1))/(1-x^(2*k)): A000012 (b=1), A004525(n+1) (b=2), A000933(n+5) (b=3), A089597 (b=4), A014670 (b=5), this sequence (b=6), A316719 (b=7), A316720 (b=8), A316721 (b=9), A316722 (b=10).

Cf. A316675.

Programs

PARI

N=99; x='x+O('x^N); Vec(prod(k=1, 6, (1+x^(2*k-1))/(1-x^(2*k))))