A219255 Numbers n for which prime(n) divides at least one sum of two consecutive terms in sequence {f_m(k)}, defined in A224523.

1, 2, 3, 5, 6, 7, 8, 10, 17, 23, 24, 25, 34, 36, 37, 45, 51, 120, 124, 219, 231, 244, 251, 2034, 2057, 3121, 4176, 5185, 9492

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..29.

Example

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.

Mathematica

Rest[Flatten[Position[Differences[A224523], Except[0]]]] (* Peter J. C. Moses, Apr 13 2013 *)

Crossrefs

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

Sequence in context: A229993 A376592 A323252 * A025501 A028758 A028803

Adjacent sequences: A219252 A219253 A219254 * A219256 A219257 A219258

Keyword

nonn,more

Author

Vladimir Shevelev, Apr 11 2013

Status

approved