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 A358565 #23 Jan 06 2023 02:07:56 %S A358565 1,1,1,1,2,1,1,1,2,2,1,2,1,1,3,1,2,3,1,1,2,1,5,1,1,2,1,1,1,2,2,3,1,5, %T A358565 1,1,4,1,2,3,2,2,1,2,1,2,2,2,1,2,6,1,1,3,1,1,3,4,1,1,1,3,1,3,3,4,3,2, %U A358565 4,2,2,1,2,3,1,3,1,4,3,2,1,1,3,1,1,5,1 %N A358565 a(n) = A358548(n) / 6. %C A358565 (1/6) * (first differences of consecutive primes of the form 3*k - 1). %o A358565 (Python) %o A358565 from itertools import islice %o A358565 from sympy import isprime %o A358565 def A358565_gen(): # generator of terms %o A358565 p, q = 5, 11 %o A358565 while True: %o A358565 while not isprime(q): %o A358565 q += 3 %o A358565 yield (q-p)//6 %o A358565 p = q %o A358565 q += 3 %o A358565 A358565_list = list(islice(A358565_gen(),30)) # _Chai Wah Wu_, Jan 05 2023 %Y A358565 Cf. A358548, A003627. %K A358565 nonn %O A358565 2,5 %A A358565 _Jordan Gunter_, Nov 22 2022