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A117980 Legendre-binomial transform of (-1)^n for p=3. +0
1
1, 0, 3, 0, 0, 0, 3, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 9, 0, 0, 0, 9, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 27, 0, 0, 0, 27, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,3

COMMENT

a(n)=a(3n)=a(3n+2)/3; a(3n+2)=0.

FORMULA

a(n)=sum{k=0..n, L(C(n,k)/3)*(-1)^k} where L(j/p) is the Legendre symbol of j and p.

CROSSREFS

Sequence in context: A036873 A081130 A090225 this_sequence A065032 A007514 A122480

Adjacent sequences: A117977 A117978 A117979 this_sequence A117981 A117982 A117983

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 06 2006

page 1

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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