A129029 a(n) = 8*n^4+44*n^3+106*n^2+100*n+30.

0, 30, 288, 1134, 3120, 6990, 13680, 24318, 40224, 62910, 94080, 135630, 189648, 258414, 344400, 450270, 578880, 733278, 916704, 1132590, 1384560, 1676430, 2012208, 2396094, 2832480, 3325950, 3881280, 4503438, 5197584, 5969070, 6823440, 7766430, 8803968

Offset

-1,2

Links

Table of n, a(n) for n=-1..31.

Gordon G. Cash and Jerry Ray Dias, Computation, Properties and Resonance Topology of Benzenoid Monoradicals and Polyradicals and the Eigenvectors Belonging to Their Zero Eigenvalues, J. Math. Chem., 30 (2001), 429-444. [See Fig. 2.]

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = 2*(n+1)*(4*n^3+18*n^2+35*n+15).

G.f.: -6*(5+23*x-x^2+5*x^3) / (x-1)^5 . - R. J. Mathar, Mar 05 2016

Mathematica

Table[8n^4+44n^3+106n^2+100n+30, {n, -1, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 30, 288, 1134, 3120}, 40] (* Harvey P. Dale, May 12 2022 *)

Prog

(PARI) x='x+O('x^100); concat(0, Vec(-6*(5+23*x-x^2+5*x^3)/(x-1)^5)) \\ Altug Alkan, Mar 05 2016

Crossrefs

Sequence in context: A270852 A229427 A113754 * A101381 A061605 A125393

Adjacent sequences: A129026 A129027 A129028 * A129030 A129031 A129032

Keyword

nonn,easy

Author

N. J. A. Sloane, May 10 2007

Status

approved