A114543 Expansion of x*(1+x)/((1+2x)(1-2x-768x^2)).

0, 1, 1, 772, 2308, 597520, 2967568, 464830528, 3208753216, 363407352064, 3191137173760, 285479120733184, 3021751590913024, 225291467904913408, 2771288157631025152, 178566423666235555840, 2485482152393098412032

Offset

0,4

Comments

The characteristic polynomial has the integer root -2 and the two real-valued roots 1+-sqrt(769).

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (0,772,1536).

Formula

a(n)=772*a(n-2)+1536*a(n-3), n>2. [_From Harvey P. Dale_, Nov 25 2011]

Mathematica

M = {{0, 1, 0}, {0, 0, 1}, {1536, 772, 0}}; w[0] = {0, 1, 1}; w[n_] := w[n] = M.w[n - 1] a = Flatten[Table[w[n][[1]], {n, 0, 25}]]
LinearRecurrence[{0, 772, 1536}, {0, 1, 1}, 20] (* Harvey P. Dale, Nov 25 2011 *)

Crossrefs

Sequence in context: A252558 A252559 A259696 * A233647 A285755 A264255

Adjacent sequences: A114540 A114541 A114542 * A114544 A114545 A114546

Keyword

nonn,less

Author

Roger L. Bagula, Feb 15 2006

Status

approved