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A025974 Expansion of 1/((1-2x)(1-4x)(1-7x)(1-11x)). 0

%I #16 Jun 26 2022 02:59:55

%S 1,24,383,5166,63993,756108,8690611,98243322,1099333565,12223792152,

%T 135381670359,1495646457318,16497281164417,181786417955556,

%U 2001865410394427,22036025351972754,242504828325007749

%N Expansion of 1/((1-2x)(1-4x)(1-7x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (24,-193,606,-616).

%F a(n) = -4*2^n/45 + 32*4^n/21 - 343*7^n/60 + 1331*11^n/252. - _R. J. Mathar_, Jun 20 2013

%F From _Wesley Ivan Hurt_, Jun 26 2022: (Start)

%F G.f.: 1/((1-2*x)*(1-4*x)*(1-7*x)*(1-11*x)).

%F a(n) = 24*a(n-1) - 193*a(n-2) + 606*a(n-3) - 616*a(n-4). (End)

%t CoefficientList[Series[1/((1-2x)(1-4x)(1-7x)(1-11x)),{x,0,20}],x] (* _Harvey P. Dale_, Apr 05 2021 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified May 6 23:04 EDT 2024. Contains 372298 sequences. (Running on oeis4.)