A156667 - OEIS

%I #5 May 08 2022 21:05:49

%S 1,0,1,2,0,1,0,2,0,3,4,0,2,0,5,0,4,0,6,0,11,8,0,4,0,10,0,21,0,8,0,12,

%T 0,22,0,43,16,0,8,0,20,0,42,0,85,0,16,0,24,0,44,0,86,0,171,32,0,16,0,

%U 40,0,84,0,170,0,341

%N Triangle read by rows, A156663 * (A001045 * 0^(n-k)).

%C Row sums = A001045 starting with offset 1: (1, 1, 3, 5, 11, 21, 43, ...).

%C As an eigentriangle, row sums = rightmost term of next row.

%F Triangle read by rows, A156663 * (an infinite lower triangular matrix with A001045 as the main diagonal 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 4, 0, 2, 0, 5;

%e 0, 4, 0, 6, 0, 11;

%e 8, 0, 4, 0, 10, 0, 21;

%e 0, 8, 0, 12, 0, 22, 0, 43;

%e 16, 0, 8, 0, 20, 0, 42, 0, 85;

%e 0, 16, 0, 24, 0, 44, 0, 86, 0, 171;

%e 32, 0, 16, 0, 40, 0, 84, 0, 170, 0, 341;

%e 0, 32, 0, 48, 0, 88, 0, 172, 0, 342, 0, 683;

%e ...

%e Row 4 = (4, 0, 2, 0, 5) = termwise products of (4, 0, 2, 0, 1) and (1, 1, 1, 3, 5)

%Y Cf. A156663, A001045.

%K nonn,tabl

%O 0,4

%A _Gary W. Adamson_, Feb 12 2009