id:A108742 - OEIS Search Results

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Row sums of a triangle related to the Jacobsthal polynomials.

+0
2

1, 2, 3, 7, 12, 24, 45, 86, 164, 312, 595, 1133, 2159, 4113, 7836, 14929, 28442, 54187, 103235, 196680, 374708, 713881, 1360062, 2591144, 4936560, 9404967, 17918025, 34136815, 65036305, 123904968, 236059553, 449732674, 856815475, 1632375855 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Row sums of A108756.`
	FORMULA	`G.f.: (1+x-x^2)/(1-x-2x^2+x^4); a(n)=a(n-1)+2a(n-2)-a(n-4); a(n)=sum{k=0..n, binomial(floor((n+k+1)/2)+k, floor((n+k)/2)-k)}.`
	CROSSREFS	`Adjacent sequences: A108739 A108740 A108741 this_sequence A108743 A108744 A108745` `Sequence in context: A054176 A000630 A036538 this_sequence A018240 A090596 A054272`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 22 2005`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

AT&T Labs Research