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A073063 Generating function satisfies A(x) = exp(sum_{n=1..inf} L(n)A(x^n)x^n/n) where L(n)=n-th Lucas number. +0
1
1, 1, 3, 7, 19, 48, 134, 362, 1026, 2915, 8463, 24760, 73439, 219444, 661592, 2007631, 6131180, 18823235, 58072904, 179931279, 559676932, 1746983911, 5470554480, 17180641614, 54101612326, 170784939844, 540351318828 (list; graph; listen)
OFFSET

0,3

FORMULA

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

EXAMPLE

A(x)=exp(A(x)x + 3A(x^2)x^2/2 + 4A(x^3)x^3/3 + 7A(x^4)x^4/4 + 11A(x^5)x^5/5 + ...) = 1 + x + 3x^2 + 7x^3 + 19x^4 + 48x^5 + 134x^6 + 362x^7 + ...

CROSSREFS

Cf. A000081, A000204.

Sequence in context: A026581 A001372 A049117 this_sequence A007288 A061646 A017926

Adjacent sequences: A073060 A073061 A073062 this_sequence A073064 A073065 A073066

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Aug 17 2002

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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