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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. 2

%I

%S 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 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 57,0,138,0,250,0,6,0,15,0,40,0,108,0,262,0,476

%N 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 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 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 First few rows of the triangle:

%e 1;

%e 0, 1;

%e 2, 0, 1;

%e 0, 2, 0, 3;

%e 3, 0, 2, 0, 5;

%e 0, 3, 0, 6, 0, 10;

%e 4, 0, 3, 0, 10, 0, 19;

%e 0, 4, 0, 9, 0, 20, 0, 36;

%e 5, 0, 4, 0, 15, 0, 38, 0, 69;

%e 0, 5, 0, 12, 0, 30, 0, 72, 0, 131;

%e 6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250;

%e 0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476;

%e 7, 0, 6, 0, 25, 0, 76, 0, 207, 0, 500, 0, 907;

%e ...

%e 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 Cf. A158943, A158944.

%K nonn,tabl

%O 1,4

%A _Gary W. Adamson_, Mar 31 2009

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Last modified May 28 00:30 EDT 2022. Contains 354110 sequences. (Running on oeis4.)