OFFSET
0,2
COMMENTS
Every infinite, increasing, integer arithmetic progression meets this sequence infinitely often. - John Abbott (abbott(AT)dima.unige.it), Mar 06 2003
Largest k such that (k!-n!)/(k-n) is an integer. - Derek Orr, Apr 02 2014
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Aria Chen, Tyler Cummins, Rishi De Francesco, Jate Greene, Tanya Khovanova, Alexander Meng, Tanish Parida, Anirudh Pulugurtha, Anand Swaroop, and Samuel Tsui, Card Tricks and Information, arXiv:2405.21007 [math.HO], 2024. See p. 5.
FORMULA
E.g.f.: x*exp(x) + 1/(1-x). - Len Smiley, Dec 05 2001
Row sums of triangle A135723. - Gary W. Adamson, Nov 25 2007
(n-1)*(n-3)*a(n) -n*(n^2-3*n+1)*a(n-1) +n*(n-1)*(n-2)*a(n-2)=0. - R. J. Mathar, Oct 30 2015
a(n) +(-n-3)*a(n-1) +3*(n)*a(n-2) +(-3*n+5)*a(n-3) +(n-3)*a(n-4)=0. - R. J. Mathar, Oct 30 2015
MATHEMATICA
lst={}; Do[AppendTo[lst, n!+n], {n, 3*4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 20 2008 *)
Table[n! + n, {n, 0, 20}] (* Vincenzo Librandi, Jun 08 2013 *)
PROG
(Maxima) A005095(n):= n!+n$
makelist(A005095(n), n, 0, 30); /* Martin Ettl, Nov 03 2012 */
(Magma) [Factorial(n) + n: n in [0..20]]; // Vincenzo Librandi, Jun 08 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved