A061225 Numbers of the form k^3 + (k + 1)^4 + (k + 2)^5 + (k + 3)^6.

762, 4356, 16738, 50064, 126114, 280372, 566826, 1063488, 1878634, 3157764, 5091282, 7922896, 11958738, 17577204, 25239514, 35500992, 49023066, 66585988, 89102274, 117630864, 153392002, 197782836, 252393738, 319025344, 399706314

Offset

0,1

Links

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

Formula

G.f.: 2*(381 - 489*x + 1124*x^2 - 1148*x^3 + 687*x^4 - 227*x^5 + 32*x^6)/(1-x)^7. - Colin Barker, Apr 02 2012

Example

a(1) = 1 + 2^4 + 3^5 + 4^6 = 1 + 16 + 243 + 4096 = 4356.

Mathematica

Table[n^3+(n+1)^4+(n+2)^5+(n+3)^6, {n, 0, 30}]  (* Harvey P. Dale, Mar 26 2011 *)

Prog

(Magma) [ n^3 + (n + 1)^4 + (n + 2)^5 + (n + 3)^6: n in [0..30]]; // Vincenzo Librandi, Aug 05 2011

Crossrefs

Cf. A027621.

Sequence in context: A083642 A083643 A083644 * A253615 A253616 A253611

Adjacent sequences: A061222 A061223 A061224 * A061226 A061227 A061228

Keyword

easy,nonn

Author

Olivier Gérard, May 31 2001

Extensions

Offset changed from 1 to 0 by Vincenzo Librandi, Aug 05 2011

Status

approved