cp's OEIS Frontend

A293796 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Sum_{j>=1} j^(k-1)*A000041(j)*x^j).

%I A293796 #14 Oct 18 2017 11:47:10
%S A293796 1,1,1,1,1,3,1,1,5,13,1,1,9,31,79,1,1,17,79,265,579,1,1,33,211,937,
%T A293796 2621,5209,1,1,65,583,3433,12501,31621,53347,1,1,129,1651,12889,62141,
%U A293796 204361,426595,628257,1,1,257,4759,49225,319461,1395121,3703099
%N A293796 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Sum_{j>=1} j^(k-1)*A000041(j)*x^j).
%H A293796 Seiichi Manyama, <a href="/A293796/b293796.txt">Antidiagonals n = 0..139, flattened</a>
%F A293796 A(0,k) = 1 and A(n,k) = (n-1)! * Sum_{j=1..n} j^k*A000041(j)*A(n-j,k)/(n-j)! for n > 0.
%e A293796 Square array begins:
%e A293796      1,    1,     1,     1,      1, ...
%e A293796      1,    1,     1,     1,      1, ...
%e A293796      3,    5,     9,    17,     33, ...
%e A293796     13,   31,    79,   211,    583, ...
%e A293796     79,  265,   937,  3433,  12889, ...
%e A293796    579, 2621, 12501, 62141, 319461, ...
%Y A293796 Columns k=0..2 give A215915, A058892, A293731.
%Y A293796 Rows n=0-1 give A000012.
%K A293796 nonn,tabl,look
%O A293796 0,6
%A A293796 _Seiichi Manyama_, Oct 16 2017