id:A117900 - OEIS Search Results

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Expansion of (1+2x+4x^2+4x^3+2x^4)/((1-x^3)(1+x-x^3-x^4)).

+0
2

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; listen)

	OFFSET	`0,3`
	COMMENT	`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: A096015 A046702 A133683 this_sequence A122519 A141695 A100026` `Adjacent sequences: A117897 A117898 A117899 this_sequence A117901 A117902 A117903`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 01 2006`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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