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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
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
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.)