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 A360653 #10 Feb 16 2023 05:06:40 %S A360653 1,1,1,2,1,3,1,4,1,3,5,1,6,1,7,1,8,1,4,6,9,1,10,1,11,1,12,1,13,1,5,10, %T A360653 14,1,15,1,16,1,17,1,18,1,10,19,1,6,15,20,1,21,1,22,1,23,1,24,1,25,1, %U A360653 26,1,7,21,27,1,28,1,29,1,30,1,31,1,32,1,33,1,15,20,34 %N A360653 Irregular table read by rows; the first row contains the value 1, and for n > 1, the n-th row lists the numbers of the form binomial(m-1, k) such that binomial(m, k) = n. %C A360653 In other words, the n-th rows lists the numbers that appear directly above n in Pascal's triangle (A007318). %C A360653 The n-th row starts with 1, ends with n-1 (provided that n > 1), and contains other values iff n belongs to A006987. %H A360653 Rémy Sigrist, <a href="/A360653/a360653.gp.txt">PARI program</a> %H A360653 <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a> %e A360653 Table begins: %e A360653 n n-th row %e A360653 -- ------------- %e A360653 1 1 %e A360653 2 1 %e A360653 3 1, 2 %e A360653 4 1, 3 %e A360653 5 1, 4 %e A360653 6 1, 3, 5 %e A360653 7 1, 6 %e A360653 8 1, 7 %e A360653 9 1, 8 %e A360653 10 1, 4, 6, 9 %e A360653 11 1, 10 %e A360653 . %e A360653 For n = 6: %e A360653 Pascal's triangle begins as follows: %e A360653 1 %e A360653 1 1 %e A360653 1 2 1 %e A360653 1 3 3 1 %e A360653 1 4 6 4 1 %e A360653 1 5 10 10 5 1 %e A360653 1 6 15 20 15 6 1 %e A360653 we find the value 6 in row 4 below 3 and 3, and in row 6 below 1 and 5, %e A360653 so the 6th row contains 1, 3 and 5. %o A360653 (PARI) See Links section. %Y A360653 Cf. A003016, A006987, A007318, A360654, A360655. %K A360653 nonn,tabf %O A360653 1,4 %A A360653 _Rémy Sigrist_, Feb 15 2023