cp's OEIS Frontend

A293015 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.

%I A293015 #11 Sep 30 2017 04:39:51
%S A293015 1,1,-1,1,-1,0,1,0,-1,1,1,0,-1,2,1,1,0,0,-3,9,-2,1,0,0,-1,-3,4,-9,1,0,
%T A293015 0,0,-4,20,-95,-9,1,0,0,0,-1,-10,150,-414,50,1,0,0,0,0,-5,-10,504,49,
%U A293015 267,1,0,0,0,0,-1,-15,105,-343,10088,413,1,0,0,0,0,0,-6
%N A293015 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where A(0,k) = 1 and A(n,k) = - Sum_{i=0..n-1} binomial(n-1,i) * binomial(i+1,k) * A(n-1-i,k) for n > 0.
%H A293015 Seiichi Manyama, <a href="/A293015/b293015.txt">Antidiagonals n = 0..139, flattened</a>
%e A293015 Square array begins:
%e A293015     1,  1,  1,  1,  1, ...
%e A293015    -1, -1,  0,  0,  0, ...
%e A293015     0, -1, -1,  0,  0, ...
%e A293015     1,  2, -3, -1,  0, ...
%e A293015     1,  9, -3, -4, -1, ...
%Y A293015 Columns k=0-4 give: A000587, A292952, A292953, A292954, A292955.
%Y A293015 Rows n=0 gives A000012.
%Y A293015 Cf. A145460.
%K A293015 sign,tabl
%O A293015 0,14
%A A293015 _Seiichi Manyama_, Sep 28 2017