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A016135 Expansion of 1/((1-2*x)*(1-11*x)). 6
1, 13, 147, 1625, 17891, 196833, 2165227, 23817625, 261994131, 2881935953, 31701296507, 348714263625, 3835856903971, 42194425951873, 464138685486987, 5105525540389625, 56160780944351411, 617768590387996593 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (13,-22).

FORMULA

a(n) = (11^(n+1) - 2^(n+1))/9. - Zerinvary Lajos, Jun 05 2009

a(n) = 13*a(n-1) - 22*a(n-2). - Vincenzo Librandi, Jun 02 2011

MATHEMATICA

LinearRecurrence[{13, -22}, {1, 13}, 30] (* or *) CoefficientList[Series[ 1/((1-2x)*(1-11x)), {x, 0, 30}], x] (* Harvey P. Dale, Oct 15 2011 *)

PROG

(Sage) [(11^(n+1) - 2^(n+1))/9 for n in range(0, 20)] # Zerinvary Lajos, Jun 05 2009

(PARI) a(n)=(11^n++-2^n)/9 \\ Charles R Greathouse IV, Mar 26 2012

CROSSREFS

Cf. A139740.

Sequence in context: A051524 A110748 A211072 * A210165 A132156 A324356

Adjacent sequences:  A016132 A016133 A016134 * A016136 A016137 A016138

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Incorrect comment removed by Charles R Greathouse IV, Mar 26 2012

STATUS

approved

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Last modified January 29 07:03 EST 2020. Contains 331337 sequences. (Running on oeis4.)