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A141763 Column 3 of triangle A141760. 4
1, 1, 4, 23, 175, 1678, 19579, 270683, 4342447, 79498622, 1638471038, 37592670383, 951214496814, 26333793485772, 792232525678756, 25747819699179668, 899388184082559576, 33613386298645020835, 1338749843351681925409 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

G.f.: 1/(1-x) = Sum_{n>=0} a(n) * x^n/(1+x)^{(n+2)*(n+3)/2 - 3}.

a(n) = 1 - Sum_{j=0..n-1} a(j) * (-1)^(n-j) * C((j+2)(j+3)/2 + n-j-4, n-j) for n>0, with a(0)=1.

PROG

(PARI) {a(n)=if(n==0, 1, 1 - sum(j=0, n-1, a(j)*(-1)^(n-j)*binomial((j+2)*(j+3)/2-3+n-j-1, n-j)))}

CROSSREFS

Cf. A141760, A141761, A141762, A141764.

Sequence in context: A075729 A127131 A083355 * A025550 A067545 A004041

Adjacent sequences:  A141760 A141761 A141762 * A141764 A141765 A141766

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jul 18 2008

STATUS

approved

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Last modified February 16 14:47 EST 2019. Contains 320163 sequences. (Running on oeis4.)