A100606 a(n) = n^4 + n^3 + n.

0, 3, 26, 111, 324, 755, 1518, 2751, 4616, 7299, 11010, 15983, 22476, 30771, 41174, 54015, 69648, 88451, 110826, 137199, 168020, 203763, 244926, 292031, 345624, 406275, 474578, 551151, 636636, 731699, 837030, 953343, 1081376, 1221891

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 1).

Formula

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(0)=0, a(1)=3, a(2)=26, a(3)=111, a(4)=324. - Harvey P. Dale, Apr 25 2015

Mathematica

Table[n^4+n^3+n, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 3, 26, 111, 324}, 40] (* Harvey P. Dale, Apr 25 2015 *)

Prog

(Magma) [n^4+n^3+n: n in [0..50]]; // Vincenzo Librandi, Jun 09 2011
(PARI) a(n)=n^4+n^3+n \\ Charles R Greathouse IV, Oct 21 2022

Crossrefs

Cf. A000583, A002523, A091940, A071253, A059826, A027445, A053699, A100019.

Sequence in context: A062124 A169832 A322300 * A307918 A055330 A034495

Adjacent sequences: A100603 A100604 A100605 * A100607 A100608 A100609

Keyword

nonn,easy

Author

Douglas Winston (douglas.winston(AT)srupc.com), Nov 30 2004

Status

approved