A192262 G.f. Sum_{n >= 0} q^(4*n^2)/(q;q^2)_{2n}.

1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 6, 6, 6, 8, 8, 9, 11, 12, 13, 15, 17, 18, 21, 23, 25, 29, 31, 34, 38, 41, 46, 51, 55, 60, 66, 72, 78, 86, 93, 101, 111, 120, 130, 141, 153, 166, 180, 194, 210, 227, 245, 265, 286, 308

Offset

0,8

Links

Table of n, a(n) for n=0..59.

Alexander E. Patkowski, A note on the rank parity function, Discrete Math. 310 (2010), 961-965. See Eq. 3.2.

Maple

P:=n->mul((1-q^(2*i+1)), i=0..2*n-1);
t5:=add(q^(4*n^2)/P(n), n=0..60);
t6:=series(t5, q, 60);
seriestolist(%);

Crossrefs

Cf. A003475.

Sequence in context: A053264 A343347 A079440 * A026414 A353090 A077219

Adjacent sequences: A192259 A192260 A192261 * A192263 A192264 A192265

Keyword

nonn

Author

N. J. A. Sloane, Jun 27 2011

Status

approved