A147976 a(n) = 5^n-4^n-3^n-2^n-1.

-3, -5, -5, 25, 271, 1825, 10735, 59425, 318271, 1670785, 8656975, 44454625, 226827871, 1151991745, 5830280815, 29429454625, 148249811071, 745630312705, 3745590106255, 18797445635425, 94264432179871, 472428649241665

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Nov 18 2008

Keywords

• sign
• easy

Crossrefs

Cf. A147975-A147979.

Programs

Mathematica

lst={};Do[p=5^n-4^n-3^n-2^n-1^n;AppendTo[lst,p],{n,0,5!}];lst
Table[5^n-4^n-3^n-2^n-1,{n,0,30}] (* Harvey P. Dale, Jul 27 2015 *)

Formula

G.f.: x*(3-40*x+185*x^2-350*x^3+226*x^4)/((x-1)*(4*x-1)*(3*x-1)*(2*x-1)*(5*x-1)). [Maksym Voznyy (voznyy(AT)mail.ru), Jul 26 2009]

Extensions

G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.