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A063867 Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or +- 1. +0
8
1, 2, 2, 2, 2, 6, 10, 8, 14, 46, 80, 70, 124, 442, 794, 722, 1314, 4820, 8882, 8220, 15272, 56920, 106444, 99820, 187692, 707486, 1336546, 1265204, 2399784, 9119656, 17358560, 16547220, 31592878, 120801376, 231266520, 221653776, 425363952 (list; graph; listen)
OFFSET

0,2

REFERENCES

Suggested by J. H. Conway (conway(AT)math.princeton.edu), Aug 27, 2001.

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

S. R. Finch, Signum equations and extremal coefficients.

MATHEMATICA

f[n_, s_] := f[n, s]=Which[n==0, If[s==0, 1, 0], Abs[s]>(n*(n+1))/2, 0, True, f[ n-1, s-n]+f[n-1, s+n]]; a[n_] := f[n, 0]+2f[n, 1]

CROSSREFS

Cf. A025591, A063865, A063866.

Sequence in context: A139554 A116564 A078014 this_sequence A024723 A035470 A061292

Adjacent sequences: A063864 A063865 A063866 this_sequence A063868 A063869 A063870

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Aug 27 2001

EXTENSIONS

More terms from Dean Hickerson and Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 28, 2001

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Last modified March 13 16:35 EST 2010. Contains 173425 sequences.


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