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A093411
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Divide n by the largest factorial that divides it and repeat until an odd number is reached.
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1
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0, 1, 1, 3, 1, 5, 1, 7, 1, 9, 5, 11, 1, 13, 7, 15, 1, 17, 3, 19, 5, 21, 11, 23, 1, 25, 13, 27, 7, 29, 5, 31, 1, 33, 17, 35, 1, 37, 19, 39, 5, 41, 7, 43, 11, 45, 23, 47, 1, 49, 25, 51, 13, 53, 9, 55, 7, 57, 29, 59, 5, 61, 31, 63, 1, 65, 11, 67, 17, 69, 35, 71, 3, 73, 37, 75, 19, 77, 13, 79
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| a(n) is odd for all positive n>0; a(n)=n iff n is odd.
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EXAMPLE
| a(18) = 3, 18/6 = 3. though 18/2 = 9.
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MATHEMATICA
| f[n_] := Block[{m = n, k = n}, While[k > 1, While[ IntegerQ[m/k! ], m = m/k! ]; k-- ]; m]; Table[ f[n], {n, 0, 79}] (* Robert G. Wilson v *)
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CROSSREFS
| For bisection see A109375.
Sequence in context: A155457 A009001 A093178 * A147088 A118402 A122383
Adjacent sequences: A093408 A093409 A093410 * A093412 A093413 A093414
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KEYWORD
| easy,nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 30 2004
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EXTENSIONS
| Edited, corrected and extended by Robert G. Wilson v (rgwv(at)rgwv.com), Aug 25 2005
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