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Numbers n for which prime(n) divides at least one sum of two consecutive terms in sequence {f_m(k)}, defined in A224523.
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%I #21 May 23 2013 11:57:44

%S 1,2,3,5,6,7,8,10,17,23,24,25,34,36,37,45,51,120,124,219,231,244,251,

%T 2034,2057,3121,4176,5185,9492

%N Numbers n for which prime(n) divides at least one sum of two consecutive terms in sequence {f_m(k)}, defined in A224523.

%C Places of the last elements of runs of the same terms in A224523 are in the sequence. Whether these sequences coincide one to another?

%e 7 is in the sequence, since prime(7)=17 and sequence {f_7(k)} is periodic with period {1,1,2,3,5,8,13,21,2,1,3,4,7,11,18}, such that sum of terms 13+21=34 is divisible by 17.

%t Rest[Flatten[Position[Differences[A224523], Except[0]]]] (* _Peter J. C. Moses_, Apr 13 2013 *)

%Y Cf. A078414, A078412, A214684, A219328, A224523.

%K nonn,more

%O 1,2

%A _Vladimir Shevelev_, Apr 11 2013