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Run length of the n-th run of Fibonacci composites.
1

%I #13 Jul 25 2014 08:55:08

%S 1,3,1,3,5,5,13,3,35,47,5,221,71,1,15,59,59,1,2399,1751,663,3923,365,

%T 4753,11129,5195,5241,1511,13321,31005,23071,25109,18069,53015,196271,

%U 36401,156259,3647,11021,326805,118379,235709,350399,167051,165661,935631

%N Run length of the n-th run of Fibonacci composites.

%C There is no upper bound to the entries: F_{k*n} is divisible by F_k, so whenever integers j, j+1, ..., j+n are composite (and > 4), F_j, ..., F_{j+n} are also composite. - _Robert Israel_, Nov 19 2010

%F a(n) = A001605(n+3)-A001605(n+2)-1.

%e The first run contains A000045(6), the second A000045(8..10), the third A000045(12), the fourth A000045(14..16).

%Y Cf. A000045, A001605.

%K nonn

%O 1,2

%A _R. J. Mathar_, Nov 22 2010