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A083588 Binomial transform of A083587. 1

%I #12 May 17 2023 11:25:42

%S 1,5,19,71,273,1081,4367,17835,73165,300317,1230795,5031439,20509577,

%T 83366913,337984903,1367085683,5518563909,22239268069,89495156291,

%U 359724017367,1444513666561,5796069718985,23241810818559,93150299455291

%N Binomial transform of A083587.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (11,-43,69,-36).

%F a(n) = 4*4^n/3-5/6-n3^(n-1)+3^n/2.

%F O.g.f.: (1-6*x+7*x^2+8*x^3)/((-1+x)(-1+4*x)(-1+3*x)^2). - _R. J. Mathar_, Apr 02 2008

%F a(n) = 11*a(n-1) - 43*a(n-2) + 69*a(n-3) - 36*a(n-4). - _Wesley Ivan Hurt_, May 17 2023

%t LinearRecurrence[{11,-43,69,-36},{1,5,19,71},30] (* _Harvey P. Dale_, May 30 2016 *)

%Y Cf. A083587.

%K easy,nonn

%O 0,2

%A _Paul Barry_, May 01 2003

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)