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A180358 n^8+8n 1
0, 9, 272, 6585, 65568, 390665, 1679664, 5764857, 16777280, 43046793, 100000080, 214358969, 429981792, 815730825, 1475789168, 2562890745, 4294967424, 6975757577, 11019960720, 16983563193, 25600000160, 37822859529, 54875873712 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (9, -36, 84, -126, 126, -84, 36, -9, 1).
FORMULA
a(n)= +9*a(n-1) -36*a(n-2) +84*a(n-3) -126*a(n-4) +126*a(n-5) -84*a(n-6) +36*a(n-7) -9*a(n-8) +a(n-9). G.f.: x*(-9-191*x-4461*x^2-15339*x^3-15899*x^4-4125*x^5-303*x^6+7*x^7) / (x-1)^9 . [From R. J. Mathar, Sep 19 2010]
MATHEMATICA
Table[n^8+8n, {n, 0, 30}] (* or *) LinearRecurrence[ {9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 9, 272, 6585, 65568, 390665, 1679664, 5764857, 16777280}, 30] (* Harvey P. Dale, Jan 03 2012 *)
CROSSREFS
Sequence in context: A258302 A336195 A028456 * A220866 A197597 A197981
KEYWORD
easy,nonn
AUTHOR
Odimar Fabeny, Aug 30 2010
EXTENSIONS
a(0) corrected by R. J. Mathar, Sep 19 2010
STATUS
approved

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Last modified July 21 21:26 EDT 2024. Contains 374475 sequences. (Running on oeis4.)