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A055556
Differences of arithmetic progressions of which the terms give chains of n consecutive nonsquarefree numbers if started with terms of A045882(n) or A051681(n).
0
4, 72, 58800, 1757711340, 54169994838960, 950645196424756293060600, 94630125612279498512066506747436400, 14119054639791549212725337736060964803166626000
OFFSET
1,1
LINKS
M. Filaseta and O. Trifonov, On Gaps between Squarefree Numbers. In Analytic Number Theory, Vol 85, 1990, Birkhauser, Basel, pp. 235-253.
E. Fogels, On the average values of arithmetic functions, Proc. Cambridge Philos. Soc. 1941, 37: 358-372.
K. F. Roth, On the gaps between squarefree numbers, J. London Math. Soc. 1951 (2) 26:263-268.
FORMULA
a(n) = LCM(x, x+1, ..., x+n-1), where x = A045882(n).
EXAMPLE
For n=5, the difference of the relevant progression is 54169994838960.
KEYWORD
nonn
AUTHOR
Labos Elemer, Jul 10 2000
STATUS
approved