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 A127992 #15 Sep 24 2021 17:17:07 %S A127992 1,2,2,2,2,3,2,2,3,3,2,3,2,2,2,3,2,2,2,2,2,3,4,2,3,3,3,3,3,3,2,4,3,2, %T A127992 2,3,3,2,3,2,3,2,3,4,3,2,3,2,4,3,4,3,2,2,3,2,2,4,2,3,4,3,3,3,4,3,2,2, %U A127992 2,3,3,4,3,3,4,3,3,4,4,2,2,2,3,3,3,4,3,4,2,3,2,2,3,3,3,2,4,3,2,3,4,2,3,2,4 %N A127992 Number of distinct prime factors of 2*n^3 - 2*n + 9. %C A127992 All numbers generated by the irreducible polynomial 2n^3 - 2n + 9 (A127989) are odd multiples of 3. %H A127992 Amiram Eldar, <a href="/A127992/b127992.txt">Table of n, a(n) for n = 1..10000</a> %F A127992 a(n) = A001221(A127989(n)). - _Amiram Eldar_, Mar 13 2020 %t A127992 a = {}; Do[AppendTo[a, 2n^3 - 2n + 9], {n, 1, 300}]; b = {}; Do[c = FactorInteger[a[[n]]]; d = Length[c]; AppendTo[b, d], {n, 1, Length[a]}]; b %t A127992 Table[PrimeNu[2n^3-2n+9],{n,120}] (* _Harvey P. Dale_, Sep 24 2021 *) %o A127992 (PARI) a(n)=omega(2*n^3 - 2*n + 9) \\ _Charles R Greathouse IV_, Mar 13 2020 %Y A127992 Cf. A001221, A127989, A127990 (largest prime factor), A127992 (number of prime factors). %K A127992 nonn %O A127992 1,2 %A A127992 _Artur Jasinski_, Feb 10 2007