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A213169
a(n) = n! + n + 1.
2
2, 3, 5, 10, 29, 126, 727, 5048, 40329, 362890, 3628811, 39916812, 479001613, 6227020814, 87178291215, 1307674368016, 20922789888017, 355687428096018, 6402373705728019, 121645100408832020, 2432902008176640021
OFFSET
0,1
COMMENTS
Can be used to detect triangular tables whose rows sum to n! when decreased by 1.
LINKS
R. C. Castillo, On the Sum of Corresponding Factorials and Triangular Numbers: Runsums, Trapezoids and Politeness, Asia Pacific Journal of Multidisciplinary Research, 3 (2015), 95-101.
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.
MATHEMATICA
Table[n! + n + 1, {n, 0, 20}]
PROG
(Maxima) A213169(n):=n!+n+1$
makelist(A213169(n), n, 0, 30); /* Martin Ettl, Nov 03 2012 */
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Olivier Gérard, Nov 02 2012
STATUS
approved