A162476 Expansion of (1/(1-x))*c(x/(1-x)^4), c(x) the g.f. of A000108.

1, 2, 8, 39, 205, 1136, 6548, 38882, 236260, 1462131, 9184413, 58408588, 375330536, 2433325315, 15896742423, 104546968252, 691608993478, 4599024778431, 30724413312953, 206114347293697, 1387917616331135, 9377747277136328

Offset

0,2

Comments

Partial sums are A162477. Partial sums of A162475.

Links

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

Formula

G.f.: 1/(1-x-x/((1-x)^3-x/(1-x-x/((1-x)^3-x/(1-x-x/((1-x)^3-x/(1-... (continued fraction);

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

(n+1)*(2*n-3)*a(n) -(4*n-3)*(4*n-5)*a(n-1) +3*(4*n^2-14*n+11)*a(n-2) +(-8*n^2+40*n-27)*a(n-3) +(2*n-1)*(n-6)*a(n-4) = 0. - R. J. Mathar, Nov 15 2011

Crossrefs

Sequence in context: A077324 A112737 A206901 * A366049 A218321 A236339

Adjacent sequences: A162473 A162474 A162475 * A162477 A162478 A162479

Keyword

easy,nonn

Author

Paul Barry, Jul 04 2009

Status

approved