|
| |
|
|
A055556
|
|
Differences of arithmetic progressions of which the terms give chains of n consecutive non-squarefree numbers if started with terms of A045882(n) or A051681(n).
|
|
0
| |
|
|
4, 72, 58800, 1757711340, 54169994838960, 950645196424756293060600, 94630125612279498512066506747436400, 14119054639791549212725337736060964803166626000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
REFERENCES
| 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.
|
|
|
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 and
|
|
|
CROSSREFS
| A013929, A051681, A045882, A005117, A053797, A005117, A053806.
Sequence in context: A172478 A087315 A081460 * A168299 A089665 A092871
Adjacent sequences: A055553 A055554 A055555 * A055557 A055558 A055559
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 10 2000
|
| |
|
|
