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A252838 Let A098550(n) be prime. If A098550(n+1) is even, then suppose A098550(n+3), A098550(n+5), ..., A098550(n+(2*r-1)) are also even, while A098550(n+(2*r+1)) is odd. Then a(n)= A098550(n+(2*r-1))/2; if A098550(n+1) is odd, then a(n)=0. 1

%I #18 May 15 2018 16:49:05

%S 0,11,11,11,0,0,19,31,31,0,37,43,0,47,53,59,61,71,71,73,79,89,89,101,

%T 101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,

%U 191,193,197,199,211,223

%N Let A098550(n) be prime. If A098550(n+1) is even, then suppose A098550(n+3), A098550(n+5), ..., A098550(n+(2*r-1)) are also even, while A098550(n+(2*r+1)) is odd. Then a(n)= A098550(n+(2*r-1))/2; if A098550(n+1) is odd, then a(n)=0.

%C See comment in A252837.

%H David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller, <a href="http://arxiv.org/abs/1501.01669">The Yellowstone Permutation</a>, arXiv preprint arXiv:1501.01669, 2015 and <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Sloane/sloane9.html">J. Int. Seq. 18 (2015) 15.6.7</a>.

%F If conjecture in A252837 is true, then for n>=25, a(n) = prime(n+1).

%Y Cf. A098550, A252837.

%K nonn

%O 1,2

%A _Vladimir Shevelev_, Dec 22 2014

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