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 A256736 #30 Jul 09 2020 03:16:57 %S A256736 1,3,3,3,1,3,3,5,5,1,3,7,1,1,13,5,9,5,3,5,9,3,11,3,3,1,5,5,5,1,13,1, %T A256736 13,9,3,7,5,5,3,9,9,5,5,3,3,7,7,5,1,5,5,1,9,5,5,3,11,1,5,1,3,7,7,7,5, %U A256736 7,3,3,9,1,1,1,13,1,13,1,19,7,7,5,13,5,7,11 %N A256736 Number of composites lying between successive pairs of primes, beginning with pair (3,5). Bisection of A046933. %H A256736 Jinyuan Wang, <a href="/A256736/b256736.txt">Table of n, a(n) for n = 1..1000</a> %e A256736 [3,5] contains 4, so a(1)=4. %e A256736 [7,11] contains 8,9,10, so a(2)=3. %e A256736 For the third term in the sequence, use prime pair [13,17]. There are three composites between 13 and 17, thus the third term = 3. %t A256736 Table[Prime[n + 1] - Prime[n] - 1, {n, 2, 100, 2}] (* _Hartmut F. W. Hoft_, Apr 24 2015 *) %o A256736 (PARI) a(n) = prime(2*n+1)-prime(2*n)-1; \\ _Jinyuan Wang_, Jul 09 2020 %Y A256736 Complement of A256737 in regards to forming A046933. %K A256736 nonn %O A256736 1,2 %A A256736 _Peter Woodward_, Apr 09 2015 %E A256736 Corrected and extended by _Hartmut F. W. Hoft_, Apr 24 2015 %E A256736 More terms from _Robert G. Wilson v_, May 03 2015