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A083234 a(n) = (3*10^n + 2^n)/4. 4
1, 8, 76, 752, 7504, 75008, 750016, 7500032, 75000064, 750000128, 7500000256, 75000000512, 750000001024, 7500000002048, 75000000004096, 750000000008192, 7500000000016384, 75000000000032768, 750000000000065536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A066443.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (12,-20).

FORMULA

a(n) = (3*10^n + 2^n)/4.

G.f.: (1-4*x)/((1-10*x)*(1-2*x)).

E.g.f.: (3*exp(10*x) + exp(2*x))/4.

a(n) = 12*a(n-1)-20*a(n-2). - Wesley Ivan Hurt, Apr 24 2021

MATHEMATICA

Table[(3*10^n + 2^n)/4, {n, 0, 20}] (* Wesley Ivan Hurt, Apr 24 2021 *)

PROG

(MAGMA)[(3*10^n+2^n)/4: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

(PARI) a(n)=(3*10^n+2^n)/4 \\ Charles R Greathouse IV, Jun 29 2011

CROSSREFS

Cf. A066443, A082724.

Sequence in context: A239549 A247828 A303736 * A247744 A144851 A233827

Adjacent sequences:  A083231 A083232 A083233 * A083235 A083236 A083237

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified August 14 12:15 EDT 2022. Contains 356116 sequences. (Running on oeis4.)