A143857 a(n) = n + (n+1)*(n+2)^(n+3).

8, 163, 3074, 62503, 1399684, 34588811, 939524102, 27894275215, 900000000008, 31384283767219, 1176925259169802, 47248516628391479, 2022385242251558924, 91957716979980468763, 4427218577690292387854, 225009351233083599856159

Offset: 0

Author

Reinhard Zumkeller, Sep 03 2008

Keywords

• nonn
• easy

Comments

Suggested by Karl Vago's contributions to Dario Alpern's list of records.

Examples

			a(1) = 1+(1+1)*(1+2)^(1+3) = 1+2*3^4 = 163.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..250
• Dario A. Alpern, ECM Factorization applet records
• Dario A. Alpern, Factorization using the Elliptic Curve Method

Crossrefs

Cf. A007778, A061250.

Programs

GAP

List([0..20], n-> n + (n+1)*(n+2)^(n+3)); # G. C. Greubel, Nov 09 2019

Magma

[n+(n+1)*(n+2)^(n+3): n in [0..20]]; // Vincenzo Librandi, Dec 27 2010

Maple

A143857:=n->n+(n+1)*(n+2)^(n+3); seq(A143857(n), n=0..20); # Wesley Ivan Hurt, Mar 20 2014

Mathematica

Table[n + (n+1)*(n+2)^(n+3), {n, 0, 20}] (* Vincenzo Librandi, Mar 20 2014 *)

PARI

vector(21, n, (n-1) + n*(n+1)^(n+2)) \\ G. C. Greubel, Nov 09 2019

Sage

[n + (n+1)*(n+2)^(n+3) for n in (0..20)] # G. C. Greubel, Nov 09 2019

Formula

a(n) = n + A061250(n+3). - R. J. Mathar, Sep 04 2008