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A105204 Number of compositions of n such that the greatest part occurs with even multiplicity. 0
0, 1, 0, 2, 3, 8, 13, 27, 51, 105, 210, 424, 848, 1702, 3405, 6818, 13638, 27274, 54525, 109000, 217886, 435562, 870738, 1740829, 3480614, 6959663, 13917156, 27831708, 55661156, 111322666, 222653729, 445335854, 890744837, 1781656704, 3563668755 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..35.

FORMULA

G.f.: Sum((1-x)^(2*j+1)*Sum(x^(2*j*k)/(1-2*x+x^k)^(2*j+1), k=1..infinity), j=1..infinity).

CROSSREFS

Cf. A105201, A105200.

Sequence in context: A221181 A116503 A291589 * A352603 A318621 A045692

Adjacent sequences:  A105201 A105202 A105203 * A105205 A105206 A105207

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic, Apr 12 2005

EXTENSIONS

Edited by Joshua Zucker, May 04 2006

STATUS

approved

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Last modified May 25 02:55 EDT 2022. Contains 354047 sequences. (Running on oeis4.)