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A168632 a(n) = n^6*(n^8 + 1)/2. 1
0, 1, 8224, 2391849, 134219776, 3051765625, 39182105376, 339111595249, 2199023386624, 11438396493201, 50000000500000, 189874917677401, 641959233767424, 1968688195263049, 5556003416543776, 14596463018390625 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (15,-105,455,-1365,3003,-5005,6435,-6435,5005,-3003,1365,-455,105,-15,1).
FORMULA
From G. C. Greubel, Jul 27 2016: (Start)
G.f.: x*(1 + 8209*x + 2268594*x^2 + 99205106*x^3 + 1285872575*x^4 + 6421628943*x^5 + 13985589372*x^6 + 13985589372*x^7 + 6421628943*x^8 + 1285872575*x^9 + 99205106*x^10 + 2268594*x^11 + 8209*x^12 + x^13)/(1 - x)^15.
E.g.f.: (1/2)*x*(2 + 8222*x + 789060*x^2 + 10391810*x^3 + 40075050*x^4 + 63436374*x^5 + 49329280*x^6 + 20912320*x^7 + 5135130*x^8 + 752752*x^9 + 66066*x^10 + 3367*x^11 + 91*x^12 + x^13)*exp(x). (End)
MATHEMATICA
Table[n^6(n^8+1)/2, {n, 0, 30}] (* Harvey P. Dale, Aug 06 2012 *)
PROG
(Magma) [n^6*(n^8+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011
(PARI) a(n)=n^6*(n^8+1)/2 \\ Charles R Greathouse IV, Jul 28 2016
CROSSREFS
Sequence in context: A168471 A031844 A210008 * A230043 A045056 A221482
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved

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Last modified February 23 13:42 EST 2024. Contains 370283 sequences. (Running on oeis4.)