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A016241 Expansion of 1/((1-x)*(1-6*x)*(1-7*x)). 1
1, 14, 141, 1246, 10277, 81270, 624877, 4710062, 34985973, 256995046, 1871524733, 13536029598, 97364345989, 697223254742, 4974599780109, 35386420442254, 251090274984725, 1777943916226758, 12567479361589405, 88703587219138430, 625312500662044581 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (14, -55, 42).

FORMULA

a(0)=1, a(1)=14, a(n) = 13*a(n-1) - 42*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(0)=1, a(1)=14, a(2)=141, a(n) = 14*a(n-1) - 55*a(n-2) + 42*a(n-3). - Harvey P. Dale, Aug 05 2011

MATHEMATICA

Table[(-6^(n + 2) + 5*7^(n + 1) + 1)/30, {n, 40}] (* or *) CoefficientList[Series[1/((1 - z) (1 - 6*z) (1 - 7*z)), {z, 0, 40}], z] (* Vladimir Joseph Stephan Orlovsky, Jul 21 2011 *)

LinearRecurrence[{14, -55, 42}, {1, 14, 141}, 40] (* Harvey P. Dale, Aug 05 2011 *)

PROG

(PARI) Vec(1/((1-x)*(1-6*x)*(1-7*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

CROSSREFS

Cf. A016218, A016228, A016249.

Sequence in context: A016290 A003457 A263822 * A306558 A131583 A011547

Adjacent sequences:  A016238 A016239 A016240 * A016242 A016243 A016244

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 19 06:47 EDT 2019. Contains 324218 sequences. (Running on oeis4.)