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A016212 Expansion of 1/((1-x)(1-3x)(1-7x)). 3
1, 11, 90, 670, 4811, 34041, 239380, 1678940, 11762421, 82366471, 576653870, 4036842810, 28258696831, 197813269301, 1384700059560, 9692921940280, 67850518152041, 474953820774531, 3324677326552450 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Matthew House, Table of n, a(n) for n = 0..1177

Index entries for linear recurrences with constant coefficients, signature (11,-31,21).

FORMULA

a(0)=1, a(1)=11, a(n) = 10*a(n-1) - 21*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(n) = (7^(n+2) - 3^(n+3) + 2)/24. - Yahia Kahloune, May 06 2013

a(n) = 11*a(n-1) - 31*a(n-2) + 21*a(n-3). - Matthew House, Jan 13 2017

MAPLE

a:=n->sum((7^(n-j)-3^(n-j))/4, j=0..n): seq(a(n), n=1..19); # Zerinvary Lajos, Jan 15 2007

PROG

(PARI) Vec(1/((1-x)*(1-3*x)*(1-7*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

CROSSREFS

Sequence in context: A171470 A168585 A055425 * A037713 A037615 A068973

Adjacent sequences:  A016209 A016210 A016211 * A016213 A016214 A016215

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 17 20:36 EST 2020. Contains 330987 sequences. (Running on oeis4.)