id:A100230 - OEIS Search Results

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Main diagonal of triangle A100229.

+0
6

1, 2, 10, 35, 118, 392, 1297, 4286, 14158, 46763, 154450, 510116, 1684801, 5564522, 18378370, 60699635, 200477278, 662131472, 2186871697, 7222746566, 23855111398, 78788080763, 260219353690, 859446141836, 2838557779201 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = 3a(n-1) + a(n-2) + 3 for n>1, with a(0)=1, a(1)=2. G.f.: Sum_{n>=1} a(n)x^n/n = log((1-x)/(1-3*x-x^2)).`
	PROGRAM	`(PARI) a(n)=if(n==0, 1, npolcoeff(log((1-x)/(1-3x-x^2)+x*O(x^n)), n))`
	CROSSREFS	`Cf. A100228, A100229.` `Equals A006497(n) - 1.` `Sequence in context: A108924 A116898 A033261 this_sequence A146983 A135963 A140954` `Adjacent sequences: A100227 A100228 A100229 this_sequence A100231 A100232 A100233`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Nov 29 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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