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 A333802 #9 Apr 06 2020 02:20:23 %S A333802 2,3,4,16,20,35,143,152,208,256,650,1624,2232,4233,4345,5368,8099, %T A333802 9424,11024,11919,12099,14905,18424,20220,21716,22194,24335,25592, %U A333802 26123,27390,30457,34945,38180,40425,51992,52206,52947,56563,63712,65536,67123,71154,71284 %N A333802 Numbers k such that A181894(k)+1 = A181894(k+1). %C A333802 A variation of A064111 and A228126 with "Fermi-Dirac primes" (or infinitary components) instead of prime divisors. %H A333802 Amiram Eldar, <a href="/A333802/b333802.txt">Table of n, a(n) for n = 1..10000</a> %e A333802 4 is a term since A181894(4) + 1 = 4 + 1 = 5 = A181894(5). %t A333802 f[p_, e_] := p^(2^(-1 + Position[Reverse @ IntegerDigits[e, 2], 1])); s[1] = 0; s[n_] := Plus @@ (Flatten @ (f @@@ FactorInteger[n])); seq = {}; s1 = 0; Do[s2 = s[n]; If[s1 + 1 == s2, AppendTo[seq, n - 1]]; s1 = s2, {n, 2, 10^5}]; seq %Y A333802 Cf. A006145, A039752, A050376, A064111, A181894, A228126, A330999, A333801. %K A333802 nonn %O A333802 1,1 %A A333802 _Amiram Eldar_, Apr 05 2020