|
%I #10 Mar 31 2014 11:17:31
%S 1,0,0,1,0,0,1,0,0,1,1,0,1,2,0,1,3,1,1,4,3,2,5,6,4,6,10,8,9,15,15,15,
%T 22,26,26,33,43,45,52,69,76,85,109,127,141,173,209,235,278,340,390,
%U 452,550,643,742,890,1054,1221,1445,1720,2007,2356,2803,3291,3853,4568,5385,6309,7450,8800,10330,12164,14372,16905,19879
%N Expansion of F(x^2, x) where F(x,y) is the g.f. of A239927.
%C What does this sequence count?
%H Joerg Arndt, <a href="/A239928/b239928.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: 1/(1 - x^3/(1 - x^7/(1 - x^11/(1 - x^15/(1 - x^19/(1 - x^23/( ... ))))))).
%o (PARI) N=66; x='x+O('x^N);
%o F(x, y, d=0)=if (d>N, 1, 1 / (1-x*y * F(x, x^2*y, d+1) ) );
%o Vec( F(x^2, x) )
%Y Cf. A000108 (F(1, x)), A143951 (F(x, 1)), A005169 (F(x, x), with interlaced zeros), A227310 (F(x, x^2)).
%K nonn
%O 0,14
%A _Joerg Arndt_, Mar 29 2014
|
