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Search: id:A164039
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A164039 a(n+1)=3*a(n)-n +0
1
1, 2, 4, 9, 23, 64, 186, 551, 1645, 4926, 14768, 44293, 132867, 398588, 1195750, 3587235, 10761689, 32285050, 96855132, 290565377, 871696111, 2615088312, 7845264914, 23535794719, 70607384133, 211822152374, 635466457096 (list; graph; listen)
OFFSET

0,2

FORMULA

a(0)=1; a(n+1)=3*a(n)-n; a(n)=(3^n+2*n+3)/4

a(n)=5*a(n-1)-7*a(n-2)+3*a(n-3). G.f.: -(1-3*x+x^2)/((3*x-1)*(x-1)^2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 09 2009]

CROSSREFS

Sequence in context: A135307 A000083 A092668 this_sequence A014137 A007476 A129698

Adjacent sequences: A164036 A164037 A164038 this_sequence A164040 A164041 A164042

KEYWORD

nonn

AUTHOR

Rolf Pleisch (r_pleisch(AT)gmx.ch), Aug 08 2009

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.


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