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A014882 a(1)=1, a(n)=12*a(n-1)+n. 1
1, 14, 171, 2056, 24677, 296130, 3553567, 42642812, 511713753, 6140565046, 73686780563, 884241366768, 10610896401229, 127330756814762, 1527969081777159, 18335628981325924, 220027547775911105 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

FORMULA

a(n)=-12/121+12/121*12^n-1/11*n, with n>=1 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 14 2009]

MAPLE

a:=n->sum((12^(n-j)-1^(n-j))/11, j=0..n): seq(a(n), n=1..17); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2007

a := n-> (Matrix ([[1, 0, 1], [1, 1, 1], [0, 0, 12]])^n)[2, 3]; seq(a(n), n=1..17); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 06 2008]

CROSSREFS

Sequence in context: A199529 A098299 A099158 * A048443 A191690 A016136

Adjacent sequences:  A014879 A014880 A014881 * A014883 A014884 A014885

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.