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A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.

%I A158945 #5 Feb 08 2022 23:11:17
%S A158945 1,0,1,2,0,1,0,2,0,3,3,0,2,0,5,0,3,0,6,0,10,4,0,3,0,10,0,19,0,4,0,9,0,
%T A158945 20,0,36,5,0,4,0,15,0,38,0,69,0,5,0,12,0,30,0,72,0,131,6,0,5,0,20,0,
%U A158945 57,0,138,0,250,0,6,0,15,0,40,0,108,0,262,0,476
%N A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.
%C A158945 As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69, ...).
%F A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.
%e A158945 First few rows of the triangle:
%e A158945   1;
%e A158945   0, 1;
%e A158945   2, 0, 1;
%e A158945   0, 2, 0,  3;
%e A158945   3, 0, 2,  0,  5;
%e A158945   0, 3, 0,  6,  0, 10;
%e A158945   4, 0, 3,  0, 10,  0, 19;
%e A158945   0, 4, 0,  9,  0, 20,  0,  36;
%e A158945   5, 0, 4,  0, 15,  0, 38,   0,  69;
%e A158945   0, 5, 0, 12,  0, 30,  0,  72,   0, 131;
%e A158945   6, 0, 5,  0, 20,  0, 57,   0, 138,   0, 250;
%e A158945   0, 6, 0, 15,  0, 40,  0, 108,   0, 262,   0, 476;
%e A158945   7, 0, 6,  0, 25,  0, 76,   0, 207,   0, 500,   0, 907;
%e A158945   ...
%e A158945 Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.
%Y A158945 Cf. A158943, A158944.
%K A158945 nonn,tabl
%O A158945 1,4
%A A158945 _Gary W. Adamson_, Mar 31 2009