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 A231292 a(n) = Jacobsthal(n)^n, where Jacobsthal(n) = A001045(n), for n>=1. 2
 1, 1, 27, 625, 161051, 85766121, 271818611107, 2724905250390625, 125015825667824393931, 21259046894411315872085401, 15087863296794400779633937999667, 41840013551409555494294964922119140625, 470091178834036922915254196307625156782873691 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)