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 A141462 #16 Jan 25 2023 09:16:17 %S A141462 0,1,0,6,0,6,10,9,4,12,6,10,9,0,18,15,20,6,22,12,15,18,18,21,8,30,15, %T A141462 30,22,9,36,20,34,27,18,30,0,44,27,30,42,25,12,35,30,34,54,33,24,18, %U A141462 39,30,60,54,36,27,66,42,58,45,68,16,35,54,30,45,44,50,51,18,45,70,40,51,84 %N A141462 Transformed nonprime products of prime factors of the composites, the largest prime decremented by 2, the smallest by 1. %C A141462 In the prime factorization of k=A002808(i), i=1,2,3,..., one instance of the largest prime, pmax=A052369(i), is replaced by pmax-2 and one instance of the smallest prime, pmin=A056608(i), is replaced by pmin-1. If the product of this modified set of factors, k*(pmax-2)*(pmin-1)/(pmin*pmax), is nonprime, it is a term of the sequence. %e A141462 composite k transformed product %e A141462 ----------- ------------------------- %e A141462 4 = 2*2 (2-1)*(2-2) = 1*0 = 0 = a(1) %e A141462 6 = 2*3 (2-1)*(3-2) = 1*1 = 1 = a(2) %e A141462 8 = 2*2*2 (2-1)*2*(2-2) = 1*2*0 = 0 = a(3) %e A141462 9 = 3*3 (3-1)*(3-2) = 2*1 = 2 (prime) %e A141462 10 = 2*5 (2-1)*(5-2) = 1*3 = 3 (prime) %e A141462 12 = 2*2*3 (2-1)*2*(3-2) = 1*2*1 = 2 (prime) %e A141462 14 = 2*7 (2-1)*(7-2) = 1*5 = 5 (prime) %e A141462 15 = 3*5 (3-1)*(5-2) = 2*3 = 6 = a(4) %K A141462 nonn %O A141462 1,4 %A A141462 _Juri-Stepan Gerasimov_, Aug 08 2008 %E A141462 Definition rephrased by _R. J. Mathar_, Aug 14 2008 %E A141462 Example section edited by _Jon E. Schoenfield_, Feb 20 2021