OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (10,-45, 120,-210,252,-210,120,-45,10,-1).
FORMULA
From Harvey P. Dale, Dec 11 2011: (Start)
a(0)=0, a(1)=1, a(2)=384, a(3)=13122, a(4)=163840, a(5)=1171875, a(6)=5878656, a(7)=23059204, a(8)=75497472, a(9)=215233605, a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10).
G.f.: (x*(x*(x*(x*(x*(x*(x*(128*x + 5281) +38454) +78095) +49780) +9327) +374) + 1))/(1 - x)^10. (End)
MATHEMATICA
Table[n^8(n+1)/2, {n, 0, 30}] (* Harvey P. Dale, Dec 11 2011 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1, 384, 13122, 163840, 1171875, 5878656, 23059204, 75497472, 215233605}, 20] (* Vincenzo Librandi, Jul 30 2016 *)
PROG
(Magma) [n^8*(n+1)/2: n in [0..30]]; // Vincenzo Librandi, Jul 30 2016
(PARI) a(n)=n^8*(n+1)/2 \\ Charles R Greathouse IV, Jul 30 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 2009
STATUS
approved