cp's OEIS Frontend

A291940 Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).

%I A291940 #17 Sep 07 2017 02:45:53
%S A291940 1,0,1,0,-2,0,4,1,0,-7,-2,0,12,2,0,-22,-3,1,0,41,8,-2,0,-74,-15,2,0,
%T A291940 133,23,-5,0,-243,-42,12,1,0,444,82,-19,-2,0,-806,-147,33,2,0,1465,
%U A291940 261,-65,-5,0,-2669,-479,118,10,0,4859,878,-211,-15,1,0,-8840,-1593,386
%N A291940 Triangle read by rows: T(n,k) = T(n-k,k-1) - 2*T(n-k,k) + T(n-k,k+1) with T(0,0) = 1 for 0 <= k <= A003056(n).
%H A291940 Seiichi Manyama, <a href="/A291940/b291940.txt">Rows n = 0..481, flattened</a>
%e A291940 First few rows are:
%e A291940   1;
%e A291940   0,    1;
%e A291940   0,   -2;
%e A291940   0,    4,   1;
%e A291940   0,   -7,  -2;
%e A291940   0,   12,   2;
%e A291940   0,  -22,  -3,  1;
%e A291940   0,   41,   8, -2;
%e A291940   0,  -74, -15,  2;
%e A291940   0,  133,  23, -5;
%e A291940   0, -243, -42, 12, 1.
%Y A291940 Row sums give A291942.
%Y A291940 Columns 0-1 give A000007, (-1)*A275762 (for n>0).
%Y A291940 Cf. A008289, A291895, A291929.
%K A291940 sign,tabf
%O A291940 0,5
%A A291940 _Seiichi Manyama_, Sep 06 2017