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Clusters of consecutive composites in A141089.
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%I #4 Mar 31 2012 10:32:41

%S 25,26,48,49,114,115,123,124,212,213,287,288,332,333,342,343,398,399,

%T 415,416,440,441,446,447,470,471,488,489,510,511,512,548,549,553,554,

%U 603,604,638,639,640,648,649,675,676,771,772,785,786,818,819,836,837

%N Clusters of consecutive composites in A141089.

%C A141089 contains composites A002808(k) such that the partial sum A053767(k) divides the partial product A036691(k). The sequence contains the subsequences of A141089 that contain two or more consecutive integers.

%F Numbers A141089(i) such that either 1+A141089(i) = A141089(i+1) or A141089(i)-1 = A141089(i-1) or both.

%e The first pair of consecutive integers is (25,26) in A141089(6,7), the second (48,49) in A141089(9,10).

%e Triples of consecutive integers in A141089 are (510,511,512), (638,639,640), (889,890,891), (912,913,914), quadruples are (987,988,989,990), etc, all members included here.

%Y Cf. A141089 A141090 A141091 A141092 A141274 A141275.

%K easy,nonn

%O 1,1

%A _Enoch Haga_, Jun 21 2008

%E Edited by _R. J. Mathar_, Jul 08 2008