id:A106514 - OEIS Search Results

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Expansion of (1-x)/((1-2x)(1-2x-x^2)).

+0
2

1, 3, 9, 25, 67, 175, 449, 1137, 2851, 7095, 17553, 43225, 106051, 259423, 633089, 1541985, 3749827, 9107175, 22095249, 53559817, 129739171, 314086735, 760009793, 1838300625, 4444999651, 10745077143, 25968708369, 62749602745 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Convolution of A000079 and A001333. Row sums of A106513.`
	FORMULA	`a(n)=sum{k=0..n, 2^(n-k)((1-sqrt(2))^k+(1+sqrt(2))^k)/2}; a(n)=sum{k=0..n, sum{j=0..floor((n+1)/2), binomial(n+1, 2j+k+1)2^j}}.` `a(n) = Pell(n+3) - Pell(n+2) - 2^(n+1) = A001333(n+2) - 2^(n+1). - Ralf Stephan, Jun 2 2007`
	CROSSREFS	`Sequence in context: A058396 A006809 A081663 this_sequence A156561 A085327 A069403` `Adjacent sequences: A106511 A106512 A106513 this_sequence A106515 A106516 A106517`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 05 2005`

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

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