A074542 a(n) = 2^n + 6^n + 8^n.

3, 16, 104, 736, 5408, 40576, 308864, 2377216, 18457088, 144295936, 1134209024, 8952733696, 70896263168, 562816516096, 4476410691584, 35654557106176, 284296086683648, 2268726473261056, 18115958466412544, 144724547816390656

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (16,-76,96).

Formula

From Mohammad K. Azarian, Dec 27 2008: (Start)

G.f.: 1/(1-2*x) + 1/(1-6*x) + 1/(1-8*x).

E.g.f.: exp(2*x) + exp(6*x) + exp(8*x). (End)

a(n) = 16*a(n-1) - 76*a(n-2) + 96*a(n-3). - Wesley Ivan Hurt, Jun 26 2022

Mathematica

Table[2^n + 6^n + 8^n, {n, 0, 20}]

Prog

(Magma) [2^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, Jun 11 2011

Crossrefs

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

Sequence in context: A341320 A365752 A207434 * A366050 A368934 A344216

Adjacent sequences: A074539 A074540 A074541 * A074543 A074544 A074545

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved