id:A098183 - OEIS Search Results

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a(n)=3a(n-1)+a(n-3), a(0)=1,a(1)=1,a(2)=4.

+0
3

1, 1, 4, 13, 40, 124, 385, 1195, 3709, 11512, 35731, 110902, 344218, 1068385, 3316057, 10292389, 31945552, 99152713, 307750528, 955197136, 2964744121, 9201982891, 28561145809, 88648181548, 275146527535, 854000728414 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f. : (1-x)^2/(1-3x-x^3); a(n)=sum(k=0..floor(n/2), binomial(n+k, 3k)3^k}.`
	CROSSREFS	`Cf. A098182, A098184.` `Sequence in context: A076040 A003462 A091141 this_sequence A094628 A034742 A097112` `Adjacent sequences: A098180 A098181 A098182 this_sequence A098184 A098185 A098186`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Aug 30 2004`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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