A061222 a(n) = n^2 + (n + 1)^3 + (n + 2)^4.

17, 90, 287, 698, 1437, 2642, 4475, 7122, 10793, 15722, 22167, 30410, 40757, 53538, 69107, 87842, 110145, 136442, 167183, 202842, 243917, 290930, 344427, 404978, 473177, 549642, 635015, 729962, 835173, 951362, 1079267, 1219650, 1373297

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Formula

G.f.: (2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5. - Zak Seidov, Oct 02 2010

Example

a(1) = 1 + 2^3 + 3^4 = 1 + 8 + 81 = 90.

Mathematica

CoefficientList[Normal[Series[(2*x^4-7*x^3+7*x^2+5*x+17)/(1-x)^5, {x, 0, 20}]], x] (* Zak Seidov, Oct 02 2010 *)

Prog

(Magma) [n^2 + (n + 1)^3 + (n + 2)^4: n in [0..40]]; // Vincenzo Librandi, Aug 05 2011

Crossrefs

Sequence in context: A057638 A159676 A061971 * A371492 A228462 A217641

Adjacent sequences: A061219 A061220 A061221 * A061223 A061224 A061225

Keyword

easy,nonn

Author

Olivier Gérard, May 31 2001

Extensions

Edited by N. J. A. Sloane, Jul 19 2009, at the suggestion of Harry J. Smith

Status

approved