A126426 a(n) = n^5 - n - 1.

-1, 29, 239, 1019, 3119, 7769, 16799, 32759, 59039, 99989, 161039, 248819, 371279, 537809, 759359, 1048559, 1419839, 1889549, 2476079, 3199979, 4084079, 5153609, 6436319, 7962599, 9765599, 11881349, 14348879, 17210339, 20511119, 24299969, 28629119, 33554399, 39135359, 45435389

Offset

1,2

Comments

Every number gives remainder 29 when divided by 30, remainder 9 when divided by 10, and remainder 4 when divided by 5.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

G.f.: x*(x^5-5*x^4+40*x^3+50*x^2+35*x-1)/(1-x)^6. - Colin Barker, Oct 07 2012

Maple

A126426:=n->n^5-n-1: seq(A126426(n), n=1..50); # Wesley Ivan Hurt, Jan 17 2017

Mathematica

a = {}; Do[AppendTo[a, x^5 - x - 1], {x, 1, 100}]; a
Table[n^5-n-1, {n, 40}] (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {-1, 29, 239, 1019, 3119, 7769}, 40] (* Harvey P. Dale, Jul 02 2018 *)

Prog

(Magma) [n^5-n-1: n in [1..40]]; // Vincenzo Librandi, Aug 30 2011
(PARI) a(n)=n^5-n-1 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A002327, A002328, A116581, A126420, A126421, A126422, A126423, A126424, A126425.

Sequence in context: A142095 A140845 A223837 * A126425 A224145 A225009

Adjacent sequences: A126423 A126424 A126425 * A126427 A126428 A126429

Keyword

sign,easy

Author

Artur Jasinski, Dec 26 2006

Status

approved