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Search: id:A093635
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A093635 G.f.: A(x) = Product_{n>=0} (1+a(n)*x^(n+1))^2 = Sum_{n>=0} a(n)*x^n. +0
3
1, 2, 5, 18, 64, 258, 1061, 4572, 19809, 88972, 400600, 1844602, 8511540, 39919338, 187389085, 891158688, 4238242129, 20365627200, 97881057229, 474301930632, 2297986873946, 11213069093460, 54697034675149, 268399278895406 (list; graph; listen)
OFFSET

0,2

COMMENT

Equals the self-convolution of A093636.

EXAMPLE

( (1+x)(1+2x^2)(1+5x^3)(1+18x^4) )^2 = 1+2x+5x^2+18x^3+...

PROGRAM

(PARI) a(n) =polcoeff(prod(i=0, n-1, (1+a(i)*x^(i+1))^2)+x*O(x^n), n)

CROSSREFS

Cf. A032305, A093636.

Sequence in context: A068000 A148428 A148429 this_sequence A024025 A084518 A150014

Adjacent sequences: A093632 A093633 A093634 this_sequence A093636 A093637 A093638

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Apr 07 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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