A168118 a(n) = n*(n^9+1)/2.

0, 1, 513, 29526, 524290, 4882815, 30233091, 141237628, 536870916, 1743392205, 5000000005, 12968712306, 30958682118, 68929245931, 144627327495, 288325195320, 549755813896, 1007996950233, 1785233613321, 3065533128910, 5120000000010, 8339940489111

Offset: 0

Author

N. J. A. Sloane, Dec 11 2009

Keywords

• nonn
• easy
• changed

Links

• Kelvin Voskuijl, Table of n, a(n) for n = 0..10000 (terms 0..1000 from T. D. Noe)
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Cf. A170783.

Programs

Magma

[n*(n^9+1)/2: n in [0..30]]; // Vincenzo Librandi, Dec 10 2014

Mathematica

Table[n (n^9 + 1)/2, {n, 0, 30}] (* Bruno Berselli, Dec 10 2014 *)
CoefficientList[Series[x (1 + 502 x + 23938 x^2 + 227554 x^3 + 655240 x^4 + 655114 x^5 + 227638 x^6 + 23902 x^7 + 511 x^8) / (1 - x)^11, {x, 0, 30}], x] (* Vincenzo Librandi, Dec 10 2014 *)

Formula

G.f.: x*(1 + 502*x + 23938*x^2 + 227554*x^3 + 655240*x^4 + 655114*x^5 + 227638*x^6 + 23902*x^7 + 511*x^8)/(1-x)^11. - Vincenzo Librandi, Dec 10 2014