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A162475 Expansion of c(x/(1-x)^4), c(x) the g.f. of A000108. 1
1, 1, 6, 31, 166, 931, 5412, 32334, 197378, 1225871, 7722282, 49224175, 316921948, 2057994779, 13463417108, 88650225829, 587062025226, 3907415784953, 26125388534522, 175389933980744, 1181803269037438, 7989829660805193 (list; graph; refs; listen; history; text; internal format)
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,changed

AUTHOR

Paul Barry, Jul 04 2009

STATUS

approved

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Last modified August 3 01:59 EDT 2021. Contains 346430 sequences. (Running on oeis4.)