A048777 - OEIS

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A048777

First partial sums of A005409; second partial sums of A001333.

1, 5, 16, 44, 113, 281, 688, 1672, 4049, 9789, 23648, 57108, 137889, 332913, 803744, 1940432, 4684641, 11309749, 27304176, 65918140, 159140497, 384199177 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`a(n)=2a(n-1)+a(n-2)+2n+1; a(0)=1, a(1)=5.` `(1/2) [Pell(n+3) - Pell(n+2) - 2n - 5 ], with Pell(n) = A000129(n). - Ralf Stephan, May 15 2007`
	EXAMPLE	`a(n)=[ {(5+(7/2)sqrt(2))(1+sqrt(2))^n - (5-(7/2)sqrt(2))(1-sqrt(2))^n}/2sqrt(2) ] - (2n+5)/2.`
	CROSSREFS	`Cf. A001333, A000129, A005409.` `Sequence in context: A079094 A144952 A053220 * A185003 A189390 A099327` `Adjacent sequences: A048774 A048775 A048776 * A048778 A048779 A048780`
	KEYWORD	`easy,nonn`
	AUTHOR	`Barry E. Williams`

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Last modified February 14 18:09 EST 2012. Contains 205663 sequences.