A154410 a(n) = 5*(3*6^n + 2^n)/2.

10, 50, 280, 1640, 9760, 58400, 350080, 2099840, 12597760, 75584000, 453498880, 2720983040, 16325877760, 97955225600, 587731271680, 3526387466240, 21158324469760, 126949946163200, 761699675668480, 4570198051389440, 27421188303093760

Offset: 0

Author

Paul Curtz, Jan 09 2009

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-12).

Programs

Magma

[5*(3*6^n+2^n)/2: n in [0..30]]; // Vincenzo Librandi, Aug 07 2011

Mathematica

LinearRecurrence[{8,-12},{10,50},30] (* Harvey P. Dale, Apr 27 2018 *)

Formula

a(n) = 8*a(n-1) - 12*a(n-2).

a(n) = 6*a(n-1) - 10*2^(n-1).

a(n) = A154407(n+1) - A154407(n).

a(n) = 10*A090040(n).

G.f.: 10*(1-3*x)/((1-2*x)*(1-6*x)). - Jaume Oliver Lafont, Aug 30 2009

E.g.f.: (5/2)*( exp(2*x) + 3*exp(6*x) ). - G. C. Greubel, Sep 16 2016

Extensions

Entries corrected and extended by Paolo P. Lava, Jan 20 2009

Comments turned into formulas by R. J. Mathar, Sep 07 2009