id:A098600 - OEIS Search Results

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Fib(n-1)+Fib(n+1)-(-1)^n.

+0
6

1, 2, 2, 5, 6, 12, 17, 30, 46, 77, 122, 200, 321, 522, 842, 1365, 2206, 3572, 5777, 9350, 15126, 24477, 39602, 64080, 103681, 167762, 271442, 439205, 710646, 1149852, 1860497, 3010350, 4870846, 7881197, 12752042, 20633240, 33385281, 54018522 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Row sums of A098599.`
	FORMULA	`G.f.: (1+2x)/((1+x)(1-x-x^2)); a(n)=sum{k=0..n, binomial(k, n-k)+binomial(k-1, n-k-1)}.` `a(n)=Lucas(n)-(-1)^n. - Paul Barry (pbarry(AT)wit.ie), Dec 01 2004`
	CROSSREFS	`Cf. A000045.` `a(n) = A020878(n) - 1 = A001350(n) + 1.` `First differences of A014217 and A062724. Cf. A000032, A099925.` `Sequence in context: A035548 A007988 A099926 this_sequence A147766 A034420 A028410` `Adjacent sequences: A098597 A098598 A098599 this_sequence A098601 A098602 A098603`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 17 2004`

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.

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