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URL: https://oeis.org/A229828

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A229828
a(n) = 7*n! - 1.
1
6, 6, 13, 41, 167, 839, 5039, 35279, 282239, 2540159, 25401599, 279417599, 3353011199, 43589145599, 610248038399, 9153720575999, 146459529215999, 2489811996671999, 44816615940095999, 851515702861823999, 17030314057236479999, 357636595201966079999, 7868005094443253759999
OFFSET
0,1
LINKS
FORMULA
a(n) = n*a(n-1) + n - 1, a(0)=6.
From Elmo R. Oliveira, Nov 01 2025: (Start)
a(n) = 7*A000142(n) - 1.
E.g.f.: 7/(1-x) - exp(x). (End)
MATHEMATICA
Table[7 n! - 1, {n, 0, 25}]
PROG
(Magma) [7*Factorial(n)-1: n in [0..25]];
(Magma) [6] cat [n eq 1 select n+5 else n*Self(n-1)+n-1: n in [1..25] ];
CROSSREFS
Cf. sequences of the type k*n!-1: A033312 (k=1), A020543 (k=2), A173323 (k=3), A173321 (k=4), A173317 (k=5), A173316 (k=6).
Cf. A000142.
Sequence in context: A115014 A168332 A214828 * A141378 A003871 A220698
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 30 2013
STATUS
approved