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 A381399 #9 Feb 25 2025 11:39:39 %S A381399 0,1,1,1,1,2,1,2,2,2,1,2,1,2,2,1,1,2,1,2,2,2,1,2,2,2,1,2,1,3,1,2,2,2, %T A381399 2,2,1,2,2,3,1,3,1,2,3,2,1,2,2,2,2,2,1,2,2,3,2,2,1,3,1,2,3,1,2,3,1,2, %U A381399 2,3,1,2,1,2,3,2,2,3,1,2,1,2,1,3,2,2,2,3,1,3 %N A381399 a(n) is the number of prime elements in the set of bases and exponents in the prime factorization of n. %C A381399 Differs from A115588 at n = 64, 81, 256, 320, 405, 448, 512... = A381400. %H A381399 Paolo Xausa, <a href="/A381399/b381399.txt">Table of n, a(n) for n = 1..10000</a> %e A381399 a(144) = 2 because the prime factorization of 144 is 2^4*3^2 and the set of these bases and exponents is {2, 3, 4}, containing 2 primes. %t A381399 A381399[n_] := Count[Union[Flatten[FactorInteger[n]]], _?PrimeQ]; %t A381399 Array[A381399, 100] %Y A381399 Cf. A115588, A381398, A381400, A381401. %K A381399 nonn,easy %O A381399 1,6 %A A381399 _Paolo Xausa_, Feb 22 2025