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A048777 First partial sums of A005409; second partial sums of A001333. +0
2
1, 5, 16, 44, 113, 281, 688, 1672, 4049, 9789, 23648, 57108, 137889, 332913, 803744, 1940432, 4684641, 11309749, 27304176, 65918140, 159140497, 384199177 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=2*a(n-1)+a(n-2)+2*n+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}/2*sqrt(2) ] - (2*n+5)/2.

CROSSREFS

Cf. A001333, A000129, A005409.

Sequence in context: A079094 A144952 A053220 this_sequence A099327 A004146 A071101

Adjacent sequences: A048774 A048775 A048776 this_sequence A048778 A048779 A048780

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams

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


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