id:A131298 - OEIS Search Results

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A difference of Fibonacci and Padovan numbers.

+0
2

1, 1, 2, 4, 6, 11, 18, 30, 50, 82, 135, 221, 361, 589, 959, 1560, 2535, 4116, 6679, 10832, 17560, 28457, 46103, 74674, 120928, 195802, 316995, 513148, 830608, 1344372, 2175796, 3521249, 5698477 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Diagonal sums of A104730.`
	FORMULA	`G.f.: (1-x^2)/((1-x-x^2)(1-x^2-x^3))=(1+x)/(1-x-x^2)-x(1+x)/(1-x^2-x^3); a(n)=sum{k=0..floor(n/2), C(n-k+1,k)-C(k,n-2k+1)};`
	CROSSREFS	`Adjacent sequences: A131295 A131296 A131297 this_sequence A131299 A131300 A131301` `Sequence in context: A026636 A026658 A138688 this_sequence A007053 A005684 A018167`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 26 2007`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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