A024122 a(n) = 10^n - n^8.

1, 9, -156, -5561, -55536, -290625, -679616, 4235199, 83222784, 956953279, 9900000000, 99785641119, 999570018304, 9999184269279, 99998524210944, 999997437109375, 9999995705032704, 99999993024242559, 999999988980039424

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,-126,444,-966,1386,-1344,876,-369,91,-10).

Programs

Magma

[10^n-n^8: n in [0..20]]; // Vincenzo Librandi, Jul 01 2011

PARI

a(n)=10^n-n^8 \\ Charles R Greathouse IV, Jul 01 2011

Formula

a(n) = 19*a(n-1) - 126*a(n-2) + 444*a(n-3) - 966*a(n-4) + 1386*a(n-5) - 1344*a(n-6) + 876*a(n-7) - 369*a(n-8) + 91*a(n-9) - 10*a(n-10). - Wesley Ivan Hurt, Oct 20 2022