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).

4, 72, 58800, 1757711340, 54169994838960, 950645196424756293060600, 94630125612279498512066506747436400, 14119054639791549212725337736060964803166626000

Offset

1,1

Links

Table of n, a(n) for n=1..8.

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.

Crossrefs

Cf. A013929, A051681, A045882, A005117, A053797, A005117, A053806.

Sequence in context: A327040 A327112 A284673 * A168299 A089665 A092871

Adjacent sequences: A055553 A055554 A055555 * A055557 A055558 A055559

Keyword

nonn

Author

Labos Elemer, Jul 10 2000

Status

approved