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Expansion of (1+15*x)/(1-x-256*x^2).
0

%I #20 Jan 01 2024 08:34:29

%S 1,16,272,4368,74000,1192208,20136208,325341456,5480210704,

%T 88767623440,1491701563664,24216213164304,406091813462288,

%U 6605442383524112,110564946629869840,1801558196812042512,30106184534058721552

%N Expansion of (1+15*x)/(1-x-256*x^2).

%D H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 221.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,256).

%F From _Philippe Deléham_, Mar 26 2009: (Start)

%F a(n) = a(n-1) + 256*a(n-2), a(0)=1, a(1)=16.

%F G.f.: (1+15x)/(1-x-256*x^2). (End)

%t LinearRecurrence[{1,256},{1,16},20] (* _Harvey P. Dale_, Jan 10 2015 *)

%K nonn,easy

%O 0,2

%A _Roger L. Bagula_, Mar 22 2009