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 A365722 #16 Sep 17 2023 11:25:23 %S A365722 0,1,1,1,2,2,2,3,2,1,2,2,2,3,3,3,4,3,2,3,3,3,4,4,4,5,3,1,2,2,2,3,3,3, %T A365722 4,3,2,3,3,3,4,4,4,5,4,3,4,4,4,5,5,5,6,4,2,3,3,3,4,4,4,5,4,3,4,4,4,5, %U A365722 5,5,6,5,4,5,5,5,6,6,6,7,4,1,2,2,2,3,3,3,4,3,2,3,3,3,4,4,4,5,4,3,4,4,4,5,5,5 %N A365722 The number of prime factors (with multiplicity) in A356867(1+n), where A356867 is Sycamore's Doudna variant D(3). %C A365722 Sum of digits minus the number of trailing 2's in the base-3 representation of n (A007089). %H A365722 Antti Karttunen, <a href="/A365722/b365722.txt">Table of n, a(n) for n = 0..59049</a> %F A365722 a(n) = A001222(A356867(1+n)) = A001222(A365719(n)). %F A365722 a(n) = A053735(n) - A007949(1+n). %F A365722 a(n) >= A365721(n). %o A365722 (PARI) A365722(n) = (sumdigits(n,3)-valuation(1+n,3)); %o A365722 (PARI) A365722(n) = bigomega(A356867(1+n)); \\ Uses also the program given in A356867. %Y A365722 Cf. A001222, A007089, A007949, A053735, A356867, A365719, A365721. %Y A365722 Cf. also A000120. %K A365722 nonn,base %O A365722 0,5 %A A365722 _Antti Karttunen_, Sep 17 2023