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A066068 a(n) = n^n + n. 5
1, 2, 6, 30, 260, 3130, 46662, 823550, 16777224, 387420498, 10000000010, 285311670622, 8916100448268, 302875106592266, 11112006825558030, 437893890380859390, 18446744073709551632, 827240261886336764194 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n=0..100

FORMULA

E.g.f.: (1-x*e^x*T(x)+x*e^x)/(1-T(x)), where T(x) is Euler's tree function (see A000169). - Len Smiley, Dec 04 2001

Resultant of nx^n+1 and nx-1. - Ralf Stephan, Nov 20 2004

a(n) = n*A124923(n), n>0. - R. J. Mathar, Oct 31 2015

Sum_{n>=1} 1/a(n) = A286193. - Amiram Eldar, Nov 19 2020

MATHEMATICA

Table[ n^n + n, {n, 1, 18} ]

Table[If[n==0, 1, n^n+n], {n, 0, 18}] (* Vladimir Joseph Stephan Orlovsky, Apr 14 2011 *)

PROG

(PARI) a(n) = n^n + n; \\ Harry J. Smith, Nov 09 2009

(MAGMA) [ n^n+n: n in [0..100] ]; // Vincenzo Librandi, Apr 15 2011

CROSSREFS

Cf. A000169, A000312, A124923, A286193.

Sequence in context: A003266 A303169 A097385 * A121406 A028361 A106339

Adjacent sequences:  A066065 A066066 A066067 * A066069 A066070 A066071

KEYWORD

nonn,easy

AUTHOR

George E. Antoniou, Dec 02 2001

STATUS

approved

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Last modified April 16 00:00 EDT 2021. Contains 343019 sequences. (Running on oeis4.)