A173316 a(n) = 6*n! - 1.

5, 5, 11, 35, 143, 719, 4319, 30239, 241919, 2177279, 21772799, 239500799, 2874009599, 37362124799, 523069747199, 7846046207999, 125536739327999, 2134124568575999, 38414242234367999, 729870602452991999, 14597412049059839999, 306545653030256639999, 6744004366665646079999

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Formula

a(n) = n*a(n-1) + n - 1, a(0)=5. - Vincenzo Librandi, Sep 30 2013

From Elmo R. Oliveira, Nov 01 2025: (Start)

a(n) = 6*A000142(n) - 1.

E.g.f.: 6/(1-x) - exp(x). (End)

Mathematica

Table[6 n! - 1, {n, 0, 25}] (* Vincenzo Librandi, Sep 30 2013 *)

Prog

(Magma) [6*Factorial(n)-1: n in [0..25]]; // Vincenzo Librandi, Sep 30 2013
(Magma) [5] cat [n eq 1 select n+4 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), A173317 (k=5).

Cf. A000142.

Sequence in context: A298955 A299591 A350920 * A242325 A098331 A222575

Adjacent sequences: A173313 A173314 A173315 * A173317 A173318 A173319

Keyword

nonn,easy

Author

Vincenzo Librandi, Feb 16 2010

Status

approved