This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A264721 #12 Nov 25 2015 20:53:02 %S A264721 10,16,22,27,28,35,36,40,46,51,52,57,58,65,66,70,77,78,82,87,88,94,95, %T A264721 96,100,106,112,121,122,123,124,125,126,130,135,136,145,146,147,148, %U A264721 155,156,161,162,166,171,172,177,178,187,188,189,190,196,206,207,208 %N A264721 Composite numbers that are greater than the average of their closest flanking primes. %C A264721 Composite numbers that are nearer to the immediately next prime than to the immediately previous prime. %C A264721 Members of this sequence are the numbers C, necessarily composite, such that I_n < C < P_n+1, where P_n is the n-th odd prime and I_n the interprime (A024675) between P_n and P_n+1. %C A264721 Prime-free subsequence of A264719. %H A264721 Chris Boyd, <a href="/A264721/b264721.txt">Table of n, a(n) for n = 1..10000</a> %e A264721 a(7) = 36 because 36 > (31 + 37)/2 = 34. %t A264721 Select[Range@ 208, And[CompositeQ@ #, # > (Abs@ NextPrime[#, -1] + NextPrime@ #)/2] &] (* _Michael De Vlieger_, Nov 22 2015 *) %o A264721 (PARI) test(n)= {if(n-precprime(n-1)>nextprime(n+1)-n&&n>2&&!isprime(n),return(1),return(0))} %o A264721 for(i=1,200,if(test(i),print1(i,", "))) %Y A264721 Cf. A264719, A264720, A264722. %K A264721 nonn,easy %O A264721 1,1 %A A264721 _Chris Boyd_, Nov 21 2015