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 A344536 #10 May 24 2021 08:41:13
%S A344536 0,1,4,2,32,5,512,3,16,33,16384,6,1048576,513,36,8,134217728,17,
%T A344536 34359738368,34,516,16385,17592186044416,7,256,1048577,20,514,
%U A344536 18014398509481984,37,36893488147419103232,9,16388,134217729,544,18,151115727451828646838272
%N A344536 Inverse permutation to A344534.
%C A344536 This sequence is additive.
%C A344536 This sequence establishes a bijection from A225547 to A261195.
%H A344536 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A344536 a(prime(n)) = A036442(n).
%F A344536 a(2^2^n) = A006125(n+1) for any n >= 0.
%F A344536 A000120(a(n)) = A064547(n).
%F A344536 a(A225546(n)) = A344537(n).
%F A344536 a(n) = A344537(n) iff n belongs to A225547.
%e A344536 A344534(42) = 320, so a(320) = 42.
%o A344536 (PARI) a(n) = { my (f=factor(n), v=0); for (k=1, #f~, my (x=primepi(f[k,1])-1, yy=f[k,2], y); while (yy, yy-=2^y=valuation(yy,2); v+=2^(x + (x+y)*
%o A344536 (x+y+1)/2))); v }
%Y A344536 Cf. A000120, A006125, A036442, A064547, A225546, A225547, A261195, A344534, A344537.
%K A344536 nonn,base
%O A344536 1,3
%A A344536 _Rémy Sigrist_, May 23 2021