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 A374451 #6 Jul 13 2024 07:45:34 %S A374451 2,3,2,2,2,2,5,2,3,2,2,3,2,2,2,7,2,3,2,5,2,2,2,2,2,2,2,2,3,2,3,2,3,2, %T A374451 3,2,2,5,2,2,2,3,2,2,2,11,2,3,2,5,2,7,2,3,2,2,2,2,3,2,2,2,2,2,2,2,13, %U A374451 2,3,2,5,2,7,2,3,2,11,2,2,7,2,2,2,3,2,2,2,5,2,2,2 %N A374451 Triangle T(n, k), n > 1, k = 1..n-1, read by rows; T(n, k) is the least prime number p such that the p-adic valuations of n and k differ. %F A374451 T(n, 1) = A020639(n). %F A374451 T(n, n-1) = 2. %F A374451 T(2^n, k) = 2. %F A374451 T(p, k) = A020639(k) for any prime number p and k > 1. %e A374451 Triangle T(n, k) begins: %e A374451 n n-th row %e A374451 -- ------------------------------- %e A374451 2 2 %e A374451 3 3, 2 %e A374451 4 2, 2, 2 %e A374451 5 5, 2, 3, 2 %e A374451 6 2, 3, 2, 2, 2 %e A374451 7 7, 2, 3, 2, 5, 2 %e A374451 8 2, 2, 2, 2, 2, 2, 2 %e A374451 9 3, 2, 3, 2, 3, 2, 3, 2 %e A374451 10 2, 5, 2, 2, 2, 3, 2, 2, 2 %e A374451 11 11, 2, 3, 2, 5, 2, 7, 2, 3, 2 %e A374451 12 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2 %o A374451 (PARI) T(n, k) = { forprime (p = 2, oo, my (d = valuation(n, p) - valuation(k, p)); if (d, return (p););); } %Y A374451 Cf. A020639, A374369. %K A374451 nonn,easy,tabl %O A374451 2,1 %A A374451 _Rémy Sigrist_, Jul 08 2024