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Search: id:A107885
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A107885 Column 0 of triangle A107884. +0
6
1, 3, 6, 16, 63, 351, 2609, 24636, 284631, 3909926, 62459868, 1140206571, 23453446130, 537365482536, 13583603874930, 375783149051267, 11299149697288503, 367080116280553305, 12818485840320445236 (list; graph; listen)
OFFSET

0,2

FORMULA

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

EXAMPLE

1 = 1*(1-x)^3 + 3*x*(1-x)^3 + 6*x^2*(1-x)^4 +

16*x^3*(1-x)^6 + 63*x^4*(1-x)^9 + 351*x^5*(1-x)^13 +...

PROGRAM

(PARI) {a(n)=polcoeff(1-sum(k=0, n-1, a(k)*x^k*(1-x+x*O(x^n))^(3+k*(k-1)/2)), n)}

CROSSREFS

Cf. A107884, A107886, A107887, A107888.

Sequence in context: A106361 A113040 A007002 this_sequence A051271 A028405 A014645

Adjacent sequences: A107882 A107883 A107884 this_sequence A107886 A107887 A107888

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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