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 A129029 a(n) = 8*n^4+44*n^3+106*n^2+100*n+30. 0
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified February 26 22:44 EST 2024. Contains 370354 sequences. (Running on oeis4.)