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Search: id:A055556
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| A055556 |
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a(n)-s are differences of such arithmetical progressions of which the terms give chains of n consecutive non-square-free numbers if started with terms of A045882(n) or A051681(n). |
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| 4, 72, 58800, 1757711340, 54169994838960, 950645196424756293060600, 94630125612279498512066506747436400, 14119054639791549212725337736060964803166626000
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OFFSET
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1,1
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REFERENCES
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Filaseta, M. and Trifonov, O. (1990): On Gaps between Squarefree Numbers. In Analytic Number Theory, Birkhauser, Basel, pp. 235-253.
Fogels, E. (1941): On the average values of arithmetic functions. Proc. Cambridge Philos. Soc. 37: 358-372.
Roth, K. F. (1951): On the gaps between squarefree numbers. J. London Math. Soc. (2) 26:263-268.
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FORMULA
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a(n)=LCM[x, x+1, .., x+n-1], where x=A045882(n)
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EXAMPLE
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for n=5 the difference of the relevant progression is 54169994838960 and
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CROSSREFS
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A013929, A051681, A045882, A005117, A053797, A005117, A053806.
Adjacent sequences: A055553 A055554 A055555 this_sequence A055557 A055558 A055559
Sequence in context: A024257 A087315 A081460 this_sequence A089665 A092871 A090212
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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), Jul 10 2000
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