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Search: id:A058256
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| 2, 2, 3, 5, 1, 4, 3, 11, 7, 1, 1, 1, 1, 23, 13, 29, 1, 1, 1, 1, 1, 41, 1, 2, 5, 17, 53, 3, 1, 1, 1, 1, 1, 37, 1, 1, 3, 83, 43, 89, 1, 19, 2, 7, 1, 1, 1, 113, 1, 1, 1, 1, 5, 4, 131, 67, 1, 1, 1, 47, 73, 1, 31, 1, 79, 1, 1, 173, 1, 1, 179, 61, 1, 1, 191, 97, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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a(n)=LCM[{p(i)-1, i=1..n+1}]/LCM[{p(i)-1, i=1..n}]
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EXAMPLE
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a(n)=1 if in p(n+1)-1 no new prime divisor or new power of a prime appear, like LCM[{1, 2, 4, 6, 10, 12, 16, 22}]= LCM[{1, 2, 4, 6, 10, 12, 16, 22, 28}]; a(n)>1 if in p(n+1)-1 new prime divisor(s) or new power(s) of a prime arise, like in A058254(15) compared with A058254(14), where the new prime divisor is 23 only, so a(14)=23. Such sites of increase do not correspond to the natural order of primes and prime-powers like in A054451.
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CROSSREFS
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Cf. A002110, A005867, A003418, A054451, A000142, A000010, A003418, A000961.
Sequence in context: A093927 A067088 A065519 this_sequence A140183 A130725 A138117
Adjacent sequences: A058253 A058254 A058255 this_sequence A058257 A058258 A058259
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 06 2000
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