A131298 - OEIS

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A131298

A difference of Fibonacci and Padovan numbers.

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; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`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	`Sequence in context: A026636 A026658 A138688 * A168445 A185192 A007053` `Adjacent sequences: A131295 A131296 A131297 * A131299 A131300 A131301`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 26 2007`

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.