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Search: id:A113037
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A113037 Number of solutions to +- 1 +- 2 +- .. +- n = 3. +0
1
0, 1, 0, 0, 3, 5, 0, 0, 23, 39, 0, 0, 219, 396, 0, 0, 2406, 4435, 0, 0, 28431, 53167, 0, 0, 353500, 667874, 0, 0, 4557831, 8675836, 0, 0, 60382450, 115601178, 0, 0, 816998489, 1571272955, 0, 0, 11242173783, 21701318843, 0, 0, 156841667096 (list; graph; listen)
OFFSET

1,5

FORMULA

a(n) is the coefficient of x^3 in product(x^(-k)+x^k, k=1..n).

MAPLE

A113037:= proc(n) local i, j, p, t; t:= NULL; for j to n do p:=1; for i to j do p:=p*(x^(-i)+x^i); od; t:=t, coeff(p, x, 3); od; t; end;

CROSSREFS

Cf. A058377, A063865, A063866.

Sequence in context: A152624 A059107 A025115 this_sequence A063866 A059106 A087676

Adjacent sequences: A113034 A113035 A113036 this_sequence A113038 A113039 A113040

KEYWORD

nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com),Oct 11 2005

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Last modified December 1 13:27 EST 2009. Contains 167806 sequences.


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