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A005058 5^n - 3^n. 15
0, 2, 16, 98, 544, 2882, 14896, 75938, 384064, 1933442, 9706576, 48650978, 243609184, 1219108802, 6098732656, 30503229218, 152544843904, 762810312962, 3814309845136, 19072324066658, 95363944856224 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

FORMULA

G.f.: 1/(1-5*x)-1/(1-3*x). E.g.f.: e^(5*x)-e^(3*x). [Mohammad K. Azarian, Jan 14 2009]

a(n) = 8 * a(n - 1) - 15 * a(n - 2) for n>1, a(0)=0, a(1)=2, . [Vincenzo Librandi, Jan 24 2011]

MATHEMATICA

Join[{a = 0, b = 1}, Table[c = 8*b - 15 * a; a = b; b = c, {n, 60}]] * 2 (* Vladimir Joseph Stephan Orlovsky, Jan 19 2011 *)

5^Range[0, 20] - 3^Range[0, 20] (* Harvey P. Dale, Jan 23 2011 *)

CoefficientList[ Series[1/(1 - 5 x) - 1/(1 - 3 x), {x, 0, 20}], x] (* Robert G. Wilson v *)

Range[0, 20]! CoefficientList[Series[Exp[5 x] - Exp[3 x], {x, 0, 20}], x] (* Robert G. Wilson v *)

a[0] := 0; a[1] := 2; a[n_] := 8 a[n - 1] - 15 a[n - 2]; Table[a[n], {n, 0, 24}] (* Alonso del Arte, Jan 23 2011 *)

PROG

(MAGMA) [5^n - 3^n: n in [0..30]]; // Vincenzo Librandi, Jun 08 2013

CROSSREFS

Cf. A005059.

Sequence in context: A163229 A038749 A002699 * A082639 A207301 A207105

Adjacent sequences:  A005055 A005056 A005057 * A005059 A005060 A005061

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 22 03:04 EDT 2019. Contains 328315 sequences. (Running on oeis4.)