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A002561 a(n) = n^5 + 1. 6
0, 1, 2, 33, 244, 1025, 3126, 7777, 16808, 32769, 59050, 100001, 161052, 248833, 371294, 537825, 759376, 1048577, 1419858, 1889569, 2476100, 3200001, 4084102, 5153633, 6436344, 7962625, 9765626, 11881377 (list; graph; refs; listen; history; text; internal format)
OFFSET

-1,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = -1..1000

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

FORMULA

a(n) = A000584(n) + 1, for n >= 0.

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6), n > 4. - Harvey P. Dale, Aug 13 2013

G.f.: ( 1 - 4*x + 36*x^2 + 56*x^3 + 31*x^4 ) / (x-1)^6. - R. J. Mathar, Jul 28 2014

E.g.f.: (1 + x + 15*x^2 + 25*x^3 + 10*x^4 + x^5)*exp(x). - G. C. Greubel, Oct 24 2018

MATHEMATICA

Table[n^5+1, {n, -1, 40}] (* Vladimir Joseph Stephan Orlovsky, Apr 15 2011 *)

LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 1, 2, 33, 244, 1025}, 40] (* Harvey P. Dale, Aug 13 2013 *)

PROG

(MAGMA) [n^5+1: n in [-1..30]]; // Vincenzo Librandi, Jun 07 2013

(PARI) a(n)=n^5+1 \\ Charles R Greathouse IV, Oct 07 2015

(GAP) List([1..30], n->n^5+1); # Muniru A Asiru, Oct 23 2018

(Sage) [n^5 + 1 for n in (-1..30)] # G. C. Greubel, Nov 20 2018

CROSSREFS

Cf. A000584.

Sequence in context: A052403 A006558 A228542 * A181547 A030448 A093992

Adjacent sequences:  A002558 A002559 A002560 * A002562 A002563 A002564

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 15 20:32 EST 2019. Contains 320138 sequences. (Running on oeis4.)