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A085352 Expansion of (1-4x)/((1-5x)(1-6x)). 3

%I #10 Jul 07 2020 06:52:57

%S 1,7,47,307,1967,12427,77687,481747,2968607,18202267,111166727,

%T 676765987,4109424047,24900684907,150624812567,909852391027,

%U 5489631924287,33090379436347,199305216071207,1199645993692867

%N Expansion of (1-4x)/((1-5x)(1-6x)).

%C Binomial transform of A085351. Binomial transform is A085353.

%H Colin Barker, <a href="/A085352/b085352.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-30).

%F a(n) = 2*6^n - 5^n.

%F a(n) = 11*a(n-1) - 30*a(n-2) for n>1. - _Colin Barker_, Jul 07 2020

%o (PARI) Vec((1 - 4*x) / ((1 - 5*x)*(1 - 6*x)) + O(x^20)) \\ _Colin Barker_, Jul 07 2020

%Y Cf. A085351, A085353.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jun 24 2003

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Last modified May 23 05:47 EDT 2024. Contains 372758 sequences. (Running on oeis4.)