id:A007566 - OEIS Search Results

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a(n+1) = (2n+3)*a(n) - 2n*a(n-1) + 8n, a(0) = 1, a(1) = 3.
(Formerly M3081)

+0
4

1, 3, 21, 151, 1257, 12651, 151933, 2127231, 34035921, 612646867, 12252937701, 269564629863, 6469551117241, 168208329048891, 4709833213369677, 141294996401091151 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`D. Doster, Problem 10403, Amer. Math. Monthly, Vol. 101 (1994), p. 792; Solution, Vol. 104 (1997), p. 368.`
	FORMULA	`a(n) = 2n*a(n-1) + (2n-1)^2; a(n) = 2[ e^(1/2)n!2^n ] - (2n+1).`
	CROSSREFS	`A007566(n) = 2*A010844(n) - (2n+1).` `Adjacent sequences: A007563 A007564 A007565 this_sequence A007567 A007568 A007569` `Sequence in context: A037768 A037656 A074577 this_sequence A074575 A091171 A026333`
	KEYWORD	`nonn,easy`
	AUTHOR	`njas`
	EXTENSIONS	`Comments from Michael Somos`

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.

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