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A117900 Expansion of (1+2x+4x^2+4x^3+2x^4)/((1-x^3)(1+x-x^3-x^4)). 1
1, 1, 3, 3, 3, 5, 6, 4, 8, 8, 6, 10, 11, 7, 13, 13, 9, 15, 16, 10, 18, 18, 12, 20, 21, 13, 23, 23, 15, 25, 26, 16, 28, 28, 18, 30, 31, 19, 33, 33, 21, 35, 36, 22, 38, 38, 24, 40, 41, 25, 43, 43, 27, 45, 46, 28, 48, 48, 30, 50, 51, 31, 53, 53, 33, 55, 56, 34, 58, 58, 36 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Diagonal sums of number triangle A117898.

FORMULA

a(n)=-a(n-1)+2a(n-3)+2a(n-4)-a(n-6)-a(n-7); a(n)=sum{k=0..floor(n/2), 2^abs(L(C(n-k,2)/3)-L(C(k,2)/3))}, L(j/p) the Legendre symbol of j and p.

CROSSREFS

Sequence in context: A046702 A133683 A182998 * A122519 A141695 A100026

Adjacent sequences:  A117897 A117898 A117899 * A117901 A117902 A117903

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 01 2006

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Last modified February 14 00:47 EST 2012. Contains 205567 sequences.