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A154410 a(n) = 5*(3*6^n + 2^n)/2. 1
10, 50, 280, 1640, 9760, 58400, 350080, 2099840, 12597760, 75584000, 453498880, 2720983040, 16325877760, 97955225600, 587731271680, 3526387466240, 21158324469760, 126949946163200, 761699675668480, 4570198051389440, 27421188303093760 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-12).

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

MATHEMATICA

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

PROG

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

CROSSREFS

Sequence in context: A095687 A204272 A220149 * A060156 A000450 A124872

Adjacent sequences: A154407 A154408 A154409 * A154411 A154412 A154413

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Jan 09 2009

EXTENSIONS

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

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

STATUS

approved

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Last modified December 2 10:22 EST 2022. Contains 358493 sequences. (Running on oeis4.)