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Number of compositions of n such that the greatest part occurs with even multiplicity.
0

%I #7 May 12 2014 19:04:04

%S 0,1,0,2,3,8,13,27,51,105,210,424,848,1702,3405,6818,13638,27274,

%T 54525,109000,217886,435562,870738,1740829,3480614,6959663,13917156,

%U 27831708,55661156,111322666,222653729,445335854,890744837,1781656704,3563668755

%N Number of compositions of n such that the greatest part occurs with even multiplicity.

%F 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).

%Y Cf. A105201, A105200.

%K easy,nonn

%O 1,4

%A _Vladeta Jovovic_, Apr 12 2005

%E Edited by _Joshua Zucker_, May 04 2006