A162475 Expansion of c(x/(1-x)^4), c(x) the g.f. of A000108.

1, 1, 6, 31, 166, 931, 5412, 32334, 197378, 1225871, 7722282, 49224175, 316921948, 2057994779, 13463417108, 88650225829, 587062025226, 3907415784953, 26125388534522, 175389933980744, 1181803269037438, 7989829660805193

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Formula

G.f.: 1/(1-x/((1-x)^4-x/(1-x/((1-x)^4-x/(1-... (continued fraction);

a(n) = Sum_{k=0..n} C(n+3k-1,n-k)*A000108(k).

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

Crossrefs

Partial sums are A162476.

Sequence in context: A058146 A015449 A336945 * A343350 A036729 A321799

Adjacent sequences: A162472 A162473 A162474 * A162476 A162477 A162478

Keyword

easy,nonn

Author

Paul Barry, Jul 04 2009

Status

approved