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URL: https://oeis.org/A173317

⇱ A173317 - OEIS

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A173317
a(n) = 5*n! - 1.
6
4, 4, 9, 29, 119, 599, 3599, 25199, 201599, 1814399, 18143999, 199583999, 2395007999, 31135103999, 435891455999, 6538371839999, 104613949439999, 1778437140479999, 32011868528639999, 608225502044159999, 12164510040883199999, 255454710858547199999, 5620003638888038399999
OFFSET
0,1
LINKS
FORMULA
a(n) = 5*A000142(n) - 1.
a(n) = n*a(n-1) + n - 1, a(0)=4. - Vincenzo Librandi, Sep 30 2013
E.g.f.: 5/(1-x) - exp(x). - Elmo R. Oliveira, Nov 01 2025
MATHEMATICA
Table[5 n! - 1, {n, 0, 25}] (* Vincenzo Librandi, Sep 30 2013 *)
PROG
(Magma) [5*Factorial(n)-1: n in [0..25]]; // Vincenzo Librandi, Sep 30 2013
(Magma) [4] cat [n eq 1 select n+3 else n*Self(n-1)+n-1: n in [1..25] ]; // Vincenzo Librandi, Sep 30 2013
CROSSREFS
Cf. sequences of the type k*n!-1: A033312 (k=1), A020543 (k=2), A173323 (k=3), A173321 (k=4), this sequence, A173316 (k=6).
Cf. A000142.
Sequence in context: A324010 A117416 A174943 * A059811 A202409 A091016
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Feb 16 2010
EXTENSIONS
a(16) corrected from Vincenzo Librandi, Sep 30 2013
STATUS
approved