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Integral quotients occur consecutively this many times (in sequence associated with A051838 and A116536).
2

%I #13 Aug 28 2018 13:57:06

%S 2,3,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,3,

%T 2,2,3,2,2,2,3,2,2,3,3,2,3,2,4,4,2,2,2,2,2,2,3,2,2,3,2,2,3,3,2,2,2,2,

%U 2,3,3,2,3,2,2,3,2,3,3,2,2,2,3,2,2,3,2,2,2,5,2,2,2,2,2,2,2,4,2

%N Integral quotients occur consecutively this many times (in sequence associated with A051838 and A116536).

%e a(1)=2 because the 1st subsequence (38,39) of consecutive integers has run length 2.

%e a(2)=3 because the 2nd subsequence is (56,57,58) which has run length 3.

%e a(3)=2 because the 3rd subsequence is (167,168) which has run length 2.

%Y Cf. A051838, A116536, A140763, A159578, A159581.

%K easy,nonn

%O 1,1

%A _Enoch Haga_, Apr 16 2009

%E Recomputed based on b-file of A051838. - _R. J. Mathar_, Aug 28 2018