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Values of k such that there exists a binomial coefficient C(n,k) where C(n,k)-1 and C(n,k)+1 are twin primes and 2<=k<=floor(n/2).
2

%I #3 Sep 29 2006 03:00:00

%S 2,5,26,13,35,44,37,23,78,46,34,69,44,106,41,50,90,89,132,107,137,143,

%T 184,145,133,166,181,82,158,198,157,175,183,163,317,293,140,123,317,

%U 251,218,169,170,103,327,229,329,73,190,79,51,95,79,290,395,432,126

%N Values of k such that there exists a binomial coefficient C(n,k) where C(n,k)-1 and C(n,k)+1 are twin primes and 2<=k<=floor(n/2).

%C This sequence is ordered by the size of the corresponding value of n.

%H <a href="http://science.kennesaw.edu/~jdemaio/twinbc.htm">Source</a>

%e The integer 5 is a member of the sequence because C(11,5)=462 and 461 and 463 are twin primes.

%Y A051735, A051770.

%K nonn

%O 0,1

%A Joe DeMaio (jdemaio(AT)kennesaw.edu), Dec 08 1999