Search: id:A055556
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%I A055556
%S A055556 4,72,58800,1757711340,54169994838960,950645196424756293060600,
%T A055556 94630125612279498512066506747436400,
%U A055556 14119054639791549212725337736060964803166626000
%N A055556 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).
%D A055556 Filaseta, M. and Trifonov, O. (1990): On Gaps between Squarefree Numbers. 
               In Analytic Number Theory, Birkhauser, Basel, pp. 235-253.
%D A055556 Fogels, E. (1941): On the average values of arithmetic functions. Proc. 
               Cambridge Philos. Soc. 37: 358-372.
%D A055556 Roth, K. F. (1951): On the gaps between squarefree numbers. J. London 
               Math. Soc. (2) 26:263-268.
%F A055556 a(n)=LCM[x, x+1, .., x+n-1], where x=A045882(n)
%e A055556 for n=5 the difference of the relevant progression is 54169994838960 
               and
%Y A055556 A013929, A051681, A045882, A005117, A053797, A005117, A053806.
%Y A055556 Sequence in context: A152653 A087315 A081460 this_sequence A089665 A092871 
               A090212
%Y A055556 Adjacent sequences: A055553 A055554 A055555 this_sequence A055557 A055558 
               A055559
%K A055556 nonn
%O A055556 1,1
%A A055556 Labos E. (labos(AT)ana.sote.hu), Jul 10 2000

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