A155648 a(n) = 10^n + 6^n - 1.

1, 15, 135, 1215, 11295, 107775, 1046655, 10279935, 101679615, 1010077695, 10060466175, 100362797055, 1002176782335, 10013060694015, 100078364164095, 1000470184984575, 10002821109907455, 100016926659444735

Offset: 0

Author

Mohammad K. Azarian, Jan 31 2009

Keywords

• nonn
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (17,-76,60).

Crossrefs

Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647.

Programs

Magma

[10^n + 6^n - 1 : n in [0..20]]; // Wesley Ivan Hurt, Jan 06 2024

Mathematica

Table[10^n+6^n-1,{n,0,20}] (* or *) LinearRecurrence[{17,-76,60},{1,15,135},20] (* Harvey P. Dale, Mar 30 2014 *)

PARI

a(n)=10^n+6^n-1 \\ Charles R Greathouse IV, Sep 24 2015

Formula

G.f.: 1/(1-10*x) + 1/(1-6*x) - 1/(1-x).

E.g.f.: e^(10*x) + e^(6*x) - e^x.

a(n) = 16*a(n-1) - 60*a(n-2) - 45; a(0)=1, a(1)=15. - Vincenzo Librandi, Jul 21 2010

a(n) = 17*a(n-1) - 76*a(n-2) + 60*a(n-3); a(0)=1, a(1)=15, a(2)=135. - Harvey P. Dale, Mar 30 2014