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 A135731 #14 Oct 13 2024 12:15:11 %S A135731 3,6,8,12,14,18,20,24,30,32,38,42,44,48,54,60,62,68,72,74,80,84,90,98, %T A135731 102,104,108,110,114,128,132,138,140,150,152,158,164,168,174,180,182, %U A135731 192,194,198,200,212,224,228,230,234,240,242,252,258,264,270,272,278 %N A135731 a(1) = 3; thereafter a(n+1) = a(n) + nextprime(a(n)) - prevprime(a(n)). %C A135731 Essentially the same as A008864. [From _R. J. Mathar_, Oct 28 2008] %C A135731 Only the first term is prime, the rest are even, and between any pair of adjacent terms a(n) and a(n+1), there is just one prime, namely prime(n+2). - _David James Sycamore_, Dec 07 2018 %H A135731 Harvey P. Dale, <a href="/A135731/b135731.txt">Table of n, a(n) for n = 1..1000</a> %F A135731 a(n+1) = a(n) + A001223(n+1) for n>1. - _David James Sycamore_, Dec 07 2018 %e A135731 a(1) = 3, so a(2) = 3 + (5-2) = 6, %e A135731 a(3) = 6 + (7-5) = 8, %e A135731 a(4) = 8 + (11-7) = 12; etc. %t A135731 NestList[#+NextPrime[#]-NextPrime[#,-1]&,3,60] (* _Harvey P. Dale_, Oct 13 2024 *) %Y A135731 Cf. A001223, A008864, A135732. %K A135731 easy,nonn %O A135731 1,1 %A A135731 _Enoch Haga_, Nov 26 2007 %E A135731 Definition corrected and entry revised by _David James Sycamore_, Dec 07 2018