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 A096153 #14 Nov 20 2023 15:31:48 %S A096153 2,3,4,5,9,6,7,25,10,8,11,49,14,27,12,13,121,15,125,20,16,17,169,21, %T A096153 343,28,81,18,19,289,22,1331,44,625,50,24,23,361,26,2197,45,2401,75, %U A096153 40,30,29,529,33,4913,52,14641,98,56,42,32,31,841,34,6859,63,28561,147,88,66 %N A096153 Natural numbers (greater than 1) arranged in rows according to their ordered prime signature. Square array A(n,k) read by descending antidiagonals. %C A096153 The first row is A000040 (the prime numbers) and the first column is A055932 (the Quet prime signatures). %C A096153 If we restrict the terms to those having ordered prime signatures that are not represented in A025487 (the least prime signature sequence), we get A096011. %e A096153 18 = 2^1 * 3^2, so has ordered prime signature (1,2) given by the exponents in the factorization shown. No earlier number has this prime signature, so 18 is placed at the start of the next empty row (row 7). Thus A(7,1) = 18. %Y A096153 For m >= 2, A077462/A335286 essentially give the row/column containing m. %Y A096153 Cf. A071364, A357126. %Y A096153 See the comments for the relationships with A000040, A025487, A055932, A096011. %K A096153 nonn,tabl %O A096153 1,1 %A A096153 _Alford Arnold_, Jul 24 2004 %E A096153 Edited by _Peter Munn_, Oct 23 2023