A296238 Expansion of Product_{k>0} (1 + x^(k*(3*k+1)/2)).

1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0

Offset

0,58

Links

Table of n, a(n) for n=0..87.

Mathematica

nmax = 100; CoefficientList[Series[Product[(1 + x^(k*(3*k+1)/2)), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Dec 10 2017 *)

Prog

(PARI) N=66; x='x+O('x^N); Vec(prod(k=1, N, (1+x^(k*(3*k+1)/2))))

Crossrefs

Cf. A218380, A290942, A296237.

Sequence in context: A287174 A080843 A287112 * A309475 A221314 A326642

Adjacent sequences: A296235 A296236 A296237 * A296239 A296240 A296241

Keyword

nonn

Author

Seiichi Manyama, Dec 09 2017

Status

approved