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A126426
a(n) = n^5 - n - 1.
10
-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.
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
KEYWORD
sign,easy
AUTHOR
Artur Jasinski, Dec 26 2006
STATUS
approved