A024134 a(n) = 11^n - n^7.

1, 10, -7, -856, -1743, 82926, 1491625, 18663628, 212261729, 2353164722, 25927424601, 285292183440, 3138392544913, 34522649395414, 379749728169737, 4177247998556276, 45949729595136705, 505447028088955098

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (19,-116,364,-686,826,-644,316,-89,11).

Programs

Magma

[11^n-n^7: n in [0..20]]; // Vincenzo Librandi, Jul 01 2011

Mathematica

Table[11^n-n^7,{n,0,20}] (* or *) LinearRecurrence[ {19,-116,364,-686,826,-644,316,-89,11},{1,10,-7,-856,-1743,82926,1491625,18663628,212261729},20] (* Harvey P. Dale, Aug 12 2012 *)

PARI

a(n)= 11^n-n^7 \\ Charles R Greathouse IV, Jul 01 2011

Formula

a(n) = 19*a(n-1) - 116*a(n-2) + 364*a(n-3) - 686*a(n-4) + 826*a(n-5) - 644*a(n-6) + 316*a(n-7) - 89*a(n-8) + 11*a(n-9) with a(0)=1, a(1)=10, a(2)=-7, a(3)=-856, a(4)=-1743, a(5)=82926, a(6)=1491625, a(7)=18663628, a(8)=212261729. - Harvey P. Dale, Aug 12 2012