id:A081668 - OEIS Search Results

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Expansion of 2sinh(x) + BesselI_0(2x).

+0
2

1, 2, 2, 2, 6, 2, 20, 2, 70, 2, 252, 2, 924, 2, 3432, 2, 12870, 2, 48620, 2, 184756, 2, 705432, 2, 2704156, 2, 10400600, 2, 40116600, 2, 155117520, 2, 601080390, 2, 2333606220, 2, 9075135300, 2, 35345263800, 2, 137846528820, 2, 538257874440, 2 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Binomial transform of A081668 is A081669.` `a(n)-(1-(-1)^n) is the inverse binomial transform of the central trinomial coefficients A002426. - Nour-Eddine Fahssi (fahssin(AT)yahoo.fr), Jan 11 2008`
	FORMULA	`E.g.f. 2sinh(x) + BesselI_0(2x)` `G.f.: (2x)/(1 - x^2) + 1/Sqrt[1 - 4 x^2]. - Nour-Eddine Fahssi (fahssin(AT)yahoo.fr), Jan 11 2008`
	CROSSREFS	`Cf. A000984.` `Sequence in context: A098555 A097521 A101416 this_sequence A126615 A054274 A053695` `Adjacent sequences: A081665 A081666 A081667 this_sequence A081669 A081670 A081671`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 28 2003`

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.

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