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A056795
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Number of divisors of k as k runs through sequence of distinct values of LCM[1,..,n].
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0
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1, 2, 4, 6, 12, 24, 32, 48, 96, 192, 240, 480, 960, 1920, 2880, 3840, 7680, 15360, 18432, 36864, 73728, 147456, 294912, 442368, 884736, 1769472, 3538944, 4128768, 8257536, 16515072, 33030144, 66060288, 82575360, 165150720, 330301440
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Values of LCM-s in A003418 and accordingly their number of divisors jump at powers of primes(A000961). Here divisor-numbers of LCM-s are displayed without repetition.
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FORMULA
| a(n)=A000005(A051451(n))
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EXAMPLE
| For x=19,20,21,22 the value of A003418(x)= A051451(13)=LCM[1,..x]=232792560,of which the number of all divisors is 960, so a(13)=960.
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CROSSREFS
| A000005, A003418, A051451, A000961.
Sequence in context: A126098 A018894 A168264 * A141420 A141551 A181804
Adjacent sequences: A056792 A056793 A056794 * A056796 A056797 A056798
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 28 2000
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