A074567 a(n) = 4^n + 6^n + 9^n.

3, 19, 133, 1009, 8113, 67849, 582193, 5079289, 44791873, 397760329, 3548299153, 31748050969, 284623096033, 2554993631209, 22955425054513, 206362390821049, 1855845593726593, 16694125538980489, 150196263973144273

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (19,-114,216).

Formula

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-4*x) + 1/(1-6*x) + 1/(1-9*x).

E.g.f.: exp(4*x) + exp(6*x) + exp(9*x). (End)

Mathematica

Table[4^n + 6^n + 9^n, {n, 0, 20}]
LinearRecurrence[{19, -114, 216}, {3, 19, 133}, 20] (* Harvey P. Dale, Jan 08 2023 *)

Prog

(Magma) [4^n + 6^n + 9^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011

Crossrefs

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

Sequence in context: A256092 A370159 A369627 * A332621 A091346 A305550

Adjacent sequences: A074564 A074565 A074566 * A074568 A074569 A074570

Keyword

easy,nonn

Author

Robert G. Wilson v, Aug 23 2002

Status

approved