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A171609
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a(2*n) = (n+1)*a(n), a(2*n+1) = (n+1)*a(n+1), with a(1) = 1.
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1
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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
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OFFSET
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1,2
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COMMENTS
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The left column of the matrix powers A171608^n in the limit n->oo. (The other columns all become 0.)
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LINKS
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FORMULA
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Limit_{n->oo} (A171608)^n, a left-shifted vector considered as a sequence.
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EXAMPLE
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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
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PROG
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(PARI) {a(n) = if(n < 2, n==0, (n\2 + 1)*a((n+1)\2))}; /* Michael Somos, Dec 27 2022 */
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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