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 A081718 #8 Oct 19 2016 16:05:45 %S A081718 1,1,1,1,1,0,1,1,1,0,1,1,2,1,0,1,1,3,3,1,0,1,1,4,6,5,1,0,1,1,5,10,13, %T A081718 7,1,0,1,1,6,15,26,23,11,1,0,1,1,7,21,45,55,44,15,1,0,1,1,8,28,71,110, %U A081718 121,74,22,1,0,1,1,9,36,105,196,271,237,129,30,1,0,1,1,10,45,148,322,532 %N A081718 Array T(m,n) read by antidiagonals, where T(m,n) = number of m X infinity multiplicity integer partition (mip) matrix of n (m >= 0, n >= 0). %C A081718 For n > 0, the n-th column is given by a polynomial of degree n-1. - _David Wasserman_, Jun 21 2004 %H A081718 W. C. Yang, <a href="http://dx.doi.org/10.1016/S0012-365X(99)00412-4">Derivatives are essentially integer partitions</a>, Discrete Mathematics, 222(1-3), July 2000, 235-245. %F A081718 There is a recurrence involving the partition function. %e A081718 Array begins: %e A081718 1 1 0 0 0 ... %e A081718 1 1 1 1 1 ... %e A081718 1 1 2 3 5 ... %e A081718 1 1 3 6 13 ... %Y A081718 Rows and columns give A022811, A022812, A022813, A022814, A022815, etc. %K A081718 nonn,tabl,easy %O A081718 0,13 %A A081718 _N. J. A. Sloane_, Apr 05 2003 %E A081718 More terms from _David Wasserman_, Jun 21 2004