%I A099020
%S A099020 1,1,0,2,1,1,4,2,1,0,10,6,4,3,3,26,16,10,6,3,0,76,50,34,24,18,15,15,232,
%T A099020 156,106,72,48,30,15,0,764,532,376,270,198,150,120,105,105,2620,1856,
%U A099020 1324,948,678,480,330,210,105,0,9496,6876,5020,3696,2748,2070
%N A099020 Euler-Seidel matrix T(k,n) with start sequence A001147, read by antidiagonals.
%C A099020 In an Euler-Seidel matrix, the rows are consecutive pairwise sums and 
               the columns consecutive differences, with the first column the inverse 
               binomial transform of the start sequence.
%H A099020 D. Dumont, <a href="http://www.mat.univie.ac.at/~slc/opapers/s05dumont.html">
               Matrices d'Euler-Seidel</a>, Sem. Loth. Comb. B05c (1981) 59-78.
%F A099020 Recurrence: T(0, 2n) = (2n-1)!!, T(0, 2n+1) = 0, T(k, n) = T(k-1, n) 
               + T(k-1, n+1).
%e A099020 1,0,1,0,3,0,15,
%e A099020 1,1,1,3,3,15,15,
%e A099020 2,2,4,6,18,30,120,
%e A099020 4,6,10,24,48,150,330,
%e A099020 10,16,34,72,198,480,1590,
%Y A099020 First column is A000085, main diagonal is in A099021.
%Y A099020 Sequence in context: A125138 A021477 A124939 this_sequence A089688 A092479 
               A124022
%Y A099020 Adjacent sequences: A099017 A099018 A099019 this_sequence A099021 A099022 
               A099023
%K A099020 nonn,tabl
%O A099020 0,4
%A A099020 Ralf Stephan, Sep 23 2004