A155662 a(n) = 11^n - 7^n + 1.

1, 5, 73, 989, 12241, 144245, 1653913, 18663629, 208594081, 2317594085, 25654949353, 283334343869, 3124587089521, 34425823133525, 379071610510393, 4172500607905709, 45916496933002561, 505214397985306565, 5558288899894321033, 61147691553229173149

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (19,-95,77).

Crossrefs

Cf. A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661.

Programs

Mathematica

Table[11^n-7^n+1,{n,0,30}] (* Harvey P. Dale, Jan 16 2023 *)

PARI

a(n)=11^n-7^n+1 \\ Charles R Greathouse IV, Jun 11 2015

Formula

G.f.: 1/(1-11*x) - 1/(1-7*x) + 1/(1-x).

E.g.f.: e^(11*x) - e^(7*x) + e^x.

a(n) = 18*a(n-1) - 77*a(n-2) + 60; a(0)=1, a(1)=5. - Vincenzo Librandi, Jul 21 2010