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Triangle read by rows, square of A053121.
3

%I #11 Jun 05 2021 17:09:17

%S 1,0,1,2,0,1,0,4,0,1,7,0,6,0,1,0,18,0,8,0,1,29,0,33,0,10,0,1,0,86,0,

%T 52,0,12,0,1,131,0,179,0,75,0,14,0,1,0,427,0,316,0,102,0,16,0,1,625,0,

%U 972,0,505,0,133,0,18,0,1

%N Triangle read by rows, square of A053121.

%C Left border = aerated version of A007852.

%F Triangle read by rows, A053121^2.

%e First few rows of the triangle:

%e 1;

%e 0, 1;

%e 2, 0, 1;

%e 0, 4, 0, 1;

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

%e 0, 18, 0, 8, 0, 1;

%e 29, 0, 33, 0, 10, 0, 1;

%e 0, 86, 0, 52, 0, 12, 0, 1;

%e 131, 0, 179, 0, 75, 0, 14, 0, 1;

%e 0, 427, 0, 316, 0, 102, 0, 16, 0, 1;

%e 625, 0, 972, 0, 505, 0, 133, 0, 18, 0, 1;

%e ...

%p A145973 := proc(n,k)

%p add(A053121(n,j)*A053121(j,k),j=k..n) ;

%p end proc: # _R. J. Mathar_, Mar 03 2013

%Y Cf. A053121.

%Y Cf. A007852, A145974 (row sums).

%Y This triangle is the square of A053121.

%K nonn,tabl

%O 0,4

%A _Gary W. Adamson_ and _Roger L. Bagula_, Oct 25 2008