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Search: id:A048778
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A048778 First partial sums of A048745; second partial sums of A048654. +0
1
1, 6, 20, 56, 145, 362, 888, 2160, 5233, 12654, 30572, 73832, 178273, 430418, 1039152, 2508768, 6056737, 14622294, 35301380, 85225112, 205751665, 496728506, 1199208744 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=2*a(n-1)+a(n-2)+3*n+1; a(0)=1, a(1)=6.

EXAMPLE

a(n)=[ {(13/2+(9/2)*sqrt(2))(1+sqrt(2))^n - (13/2-(9/2)*sqrt(2))(1-sqrt(2))^n}/2*sqrt(2) ]-(3*n+7)/2.

CROSSREFS

Cf. A001333, A048745, A048654.

Sequence in context: A152959 A109903 A014480 this_sequence A048611 A127982 A109164

Adjacent sequences: A048775 A048776 A048777 this_sequence A048779 A048780 A048781

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams

EXTENSIONS

Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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