login
1

%I #6 Mar 27 2022 23:29:37

%S 1,0,1,2,0,1,1,3,0,1,4,1,4,0,1,4,7,1,5,0,1,9,5,11,1,6,0,1,12,16,6,16,

%T 1,7,0,1,22,17,27,7,22,1,8,0,1,33,38,23,43,8,29,1,9,0,1

%N A000012(signed) * A049310 * A000012.

%C Row sums A010049: (1, 1, 3, 5, 10, 18, 33, ...).

%C A135831 = A000012 * A000012(signed) * A049310.

%F A000012(signed) * A049310 * A000012, as infinite lower triangular matrices, where A000012(signed) = (1; -1,1; 1,-1,1; ...).

%e First few rows of the triangle:

%e 1;

%e 0, 1;

%e 2, 0, 1;

%e 1, 3, 0, 1;

%e 4, 1, 4, 0, 1;

%e 4, 7, 1, 5, 0, 1;

%e 9, 5, 11, 1, 6, 0, 1;

%e 12, 16, 6, 16, 1, 7, 0, 1;

%e ...

%Y Cf. A049310, A010049, A135831.

%K nonn,tabl

%O 1,4

%A _Gary W. Adamson_, Nov 30 2007