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A170774 a(n) = n^8*(n^2+1)/2. 1
0, 1, 640, 32805, 557056, 5078125, 31072896, 144120025, 545259520, 1764915561, 5050000000, 13075891741, 31173672960, 69337111285, 145365222016, 289606640625, 551903297536, 1011484828945, 1790743593600, 3074024910421, 5132800000000, 8358851918781 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
From Colin Barker, Dec 05 2017: (Start)
G.f.: x*(1 + x)*(1 + 628*x + 25192*x^2 + 206044*x^3 + 443470*x^4 + 206044*x^5 + 25192*x^6 + 628*x^7 + x^8) / (1 - x)^11.
a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11) for n>10.
(End)
MATHEMATICA
Table[n^8*(n^2+1)/2, {n, 0, 50}] (* G. C. Greubel, Dec 05 2017 *)
PROG
(Magma) [n^8*(n^2+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^8*(n^2+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017
(PARI) concat(0, Vec(x*(1 + x)*(1 + 628*x + 25192*x^2 + 206044*x^3 + 443470*x^4 + 206044*x^5 + 25192*x^6 + 628*x^7 + x^8) / (1 - x)^11 + O(x^40))) \\ Colin Barker, Dec 05 2017
CROSSREFS
Sequence in context: A097105 A233911 A178975 * A290029 A268875 A252426
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved

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Last modified May 29 03:48 EDT 2024. Contains 372921 sequences. (Running on oeis4.)