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 A171609 a(2*n) = (n+1)*a(n), a(2*n+1) = (n+1)*a(n+1), with a(1) = 1. 1
 1, 2, 4, 6, 12, 16, 24, 30, 60, 72, 96, 112, 168, 192, 240, 270, 540, 600, 720, 792, 1056, 1152, 1344, 1456, 2184, 2352, 2688, 2880, 3600, 3840, 4320, 4590, 9180, 9720, 10800, 11400, 13680, 14400, 15840, 16632, 22176, 23232, 25344, 26496, 30912, 32256, 34944, 36400, 54600, 56784 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The left column of the matrix powers A171608^n in the limit n->oo. (The other columns all become 0.) LINKS Table of n, a(n) for n=1..50. FORMULA Limit_{n->oo} (A171608)^n, a left-shifted vector considered as a sequence. a(n+1) = a(n) * (1 + 1/A003602(n)). - Michael Somos, Dec 27 2022 EXAMPLE The cube of A171608 starts 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 12 0 0 0 0 0 0 0 0 0 16 0 0 0 0 0 0 0 0 0 24 0 0 0 0 0 0 0 0 0 30 0 0 0 0 0 0 0 0 0 0 30 0 0 0 0 0 0 0 0 0 36 0 0 0 0 0 0 0 0 ... and the first 8 entries of the left column are already "converged." - R. J. Mathar, Sep 23 2021 PROG (PARI) {a(n) = if(n < 2, n==0, (n\2 + 1)*a((n+1)\2))}; /* Michael Somos, Dec 27 2022 */ CROSSREFS Cf. A003602, A171608 Sequence in context: A089395 A089699 A089696 * A099316 A007416 A293132 Adjacent sequences: A171606 A171607 A171608 * A171610 A171611 A171612 KEYWORD nonn AUTHOR Gary W. Adamson, Dec 12 2009 EXTENSIONS More terms from R. J. Mathar, Sep 23 2021 Name changed by Michael Somos, Dec 27 2022 STATUS approved

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Last modified June 21 19:43 EDT 2024. Contains 373558 sequences. (Running on oeis4.)