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 A016249 Expansion of 1/((1-x)*(1-7*x)*(1-8*x)). 1

%I

%S 1,16,185,1880,17841,162336,1435945,12448360,106312481,897579056,

%T 7510186905,62388376440,515255179921,4235078618176,34671889197065,

%U 282913935338120,2302083235036161,18688068146607696,151404361037090425,1224533599346325400,9889359772117817201

%N Expansion of 1/((1-x)*(1-7*x)*(1-8*x)).

%F a(0)=1, a(1)=16, a(n) = 15*a(n-1) - 56*a(n-2) + 1. - _Vincenzo Librandi_, Feb 10 2011

%t Table[(3*2^(3*n + 4) - 7^(n + 2) + 1)/42, {n, 40}] (* or *) CoefficientList[Series[1/((1 - z) (1 - 7*z) (1 - 8*z)), {z, 0, 40}], z] (* _Vladimir Joseph Stephan Orlovsky_, Jul 21 2011 *)

%o (PARI) Vec(1/((1-x)*(1-7*x)*(1-8*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%Y Cf. A016218, A016228, A016241.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified June 18 20:45 EDT 2021. Contains 345121 sequences. (Running on oeis4.)