|
%I #7 Jul 20 2021 07:02:31
%S 1,1,6,31,166,931,5412,32334,197378,1225871,7722282,49224175,
%T 316921948,2057994779,13463417108,88650225829,587062025226,
%U 3907415784953,26125388534522,175389933980744,1181803269037438,7989829660805193
%N Expansion of c(x/(1-x)^4), c(x) the g.f. of A000108.
%F G.f.: 1/(1-x/((1-x)^4-x/(1-x/((1-x)^4-x/(1-... (continued fraction);
%F a(n) = Sum_{k=0..n} C(n+3k-1,n-k)*A000108(k).
%F Conjecture: (n+1)*a(n) +3*(2-3n)*a(n-1) +2*(7n-20)*a(n-2) +2*(22-5n)*a(n-3) +(5n-31)*a(n-4) +(8-n)*a(n-5)=0. - _R. J. Mathar_, Nov 17 2011
%Y Partial sums are A162476.
%K easy,nonn
%O 0,3
%A _Paul Barry_, Jul 04 2009
|
