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 A336853 #11 Aug 10 2020 00:19:32 %S A336853 0,1,2,5,2,9,4,19,16,11,2,33,4,19,20,65,2,57,4,43,34,17,6,111,24,25, %T A336853 98,71,2,75,6,211,32,23,42,189,4,31,46,149,2,123,4,73,130,41,6,357,72, %U A336853 97,44,101,6,321,36,241,58,35,2,255,6,49,212,665,54,129,4,103,76,161,2,603,6,49,170,131,66,177,4,487,544 %N A336853 a(n) = A003961(n) - n, where A003961 is the prime shift towards larger primes. %H A336853 Antti Karttunen, <a href="/A336853/b336853.txt">Table of n, a(n) for n = 1..16384</a> %H A336853 Antti Karttunen, <a href="/A336853/a336853.txt">Data supplement: n, a(n) computed for n = 1..65537</a> %H A336853 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a> %H A336853 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %F A336853 a(n) = A003961(n) - n. %F A336853 a(n) = A252748(n) + n. %F A336853 A000035(a(n)) = 1 - A000035(n). %o A336853 (PARI) A336853(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); (factorback(f)-n); }; %Y A336853 Cf. A000035, A001359 (positions of 2's), A003961, A252748, A336852 (inverse Möbius transform). %K A336853 nonn %O A336853 1,3 %A A336853 _Antti Karttunen_, Aug 09 2020