id:A099094 - OEIS Search Results

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a(n)=3a(n-2)+3a(n-3), a(0)=1,a(1)=0,a(2)=3.

+0
3

1, 0, 3, 3, 9, 18, 36, 81, 162, 351, 729, 1539, 3240, 6804, 14337, 30132, 63423, 133407, 280665, 590490, 1242216, 2613465, 5498118, 11567043, 24334749, 51195483, 107705376, 226590696, 476702577, 1002888216, 2109879819, 4438772379 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Diagonal sums of A099093.`
	FORMULA	`G.f.: 1/(1-3x^2-3x^3); a(n)=sum{k=0..floor(n/2), binomial(k, n-2k)*3^k}.`
	CROSSREFS	`Sequence in context: A089892 A038221 A099465 this_sequence A007683 A059728 A083008` `Adjacent sequences: A099091 A099092 A099093 this_sequence A099095 A099096 A099097`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 25 2004`
	EXTENSIONS	`Corrected by Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 18 2008`

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.

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