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%I #4 Feb 05 2015 14:13:42
%S 1,4,23,140,866,5388,33603,209796,1310510,8188328,51169094,319779544,
%T 1998527188,12490460620,78064190235,487896926580,3049340393430,
%U 19058321475960,119114304522450,744463650984360,4652895041524380
%N Expansion of (1-x^2*c(x)^4)/(1-4*x*c(x)^2), c(x) the g.f. of A000108.
%C Apply the inverse of the Riordan array (1/(1-x^2),x/(1+x)^2) to 4^n. Hankel transform is A070997.
%F Conjecture: +4*(n+1)*a(n) +(-81*n+23)*a(n-1) +10*(51*n-70)*a(n-2) +500*(-2*n+5)*a(n-3)=0. - _R. J. Mathar_, Feb 05 2015
%F Conjecture: +4*(n+1)^2*a(n) +(-41*n^2-58*n+23)*a(n-1) +50*(n+2)*(2*n-3)*a(n-2)=0. - _R. J. Mathar_, Feb 05 2015
%Y Cf. A090317, A158196.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Mar 13 2009
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