A231292 a(n) = Jacobsthal(n)^n, where Jacobsthal(n) = A001045(n), for n>=1.

1, 1, 27, 625, 161051, 85766121, 271818611107, 2724905250390625, 125015825667824393931, 21259046894411315872085401, 15087863296794400779633937999667, 41840013551409555494294964922119140625, 470091178834036922915254196307625156782873691

Offset

1,3

Links

Table of n, a(n) for n=1..13.

Formula

a(n) = (2^n - (-1)^n)^n / 3^n.

One-third the logarithmic derivative of A211893.

Mathematica

Module[{nn=20}, #[[1]]^#[[2]]&/@Thread[{Rest[LinearRecurrence[{1, 2}, {0, 1}, nn+1]], Range[nn]}]] (* Harvey P. Dale, Jan 17 2022 *)

Prog

(PARI) {a(n)=(2^n-(-1)^n)^n/3^n}
for(n=1, 15, print1(a(n), ", "))

Crossrefs

Cf. A211893, A231279.

Sequence in context: A185883 A212670 A099753 * A046359 A223500 A060603

Adjacent sequences: A231289 A231290 A231291 * A231293 A231294 A231295

Keyword

nonn

Author

Paul D. Hanna, Nov 06 2013

Status

approved