A168187 a(n) = n^3*(n^6 + 1)/2.

0, 1, 260, 9855, 131104, 976625, 5038956, 20176975, 67109120, 193710609, 500000500, 1178974511, 2579891040, 5302250785, 10330524764, 19221681375, 34359740416, 59293940705, 99179648100, 161343852319, 256000004000

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..400

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

Formula

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); a(0)=0, a(1)=1, a(2)=260, a(3)=9855, a(4)=131104, a(5)=976625, a(6)= 5038956, a(7)=20176975, a(8)=67109120, a(9)=193710609. - Harvey P. Dale, Dec 08 2012

Mathematica

Table[n^3(n^6+1)/2, {n, 0, 20}] (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1, 260, 9855, 131104, 976625, 5038956, 20176975, 67109120, 193710609}, 30] (* Harvey P. Dale, Dec 08 2012 *)

Prog

(Magma) [n^3*(n^6+1)/2: n in [0..50]]; // Vincenzo Librandi, Apr 25 2011

Crossrefs

Sequence in context: A238029 A264254 A254647 * A067639 A264162 A003734

Adjacent sequences: A168184 A168185 A168186 * A168188 A168189 A168190

Keyword

nonn

Author

N. J. A. Sloane, Dec 11 2009

Status

approved