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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
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
Sequence in context: A089395 A089699 A089696 * A099316 A007416 A293132
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.)