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Triangle read by rows related to A001700.
4

%I #11 May 27 2021 10:47:47

%S 1,1,2,1,7,2,1,20,12,2,1,54,53,16,2,1,143,208,88,20,2,1,376,768,415,

%T 130,24,2,1,986,2734,1804,700,180,28,2

%N Triangle read by rows related to A001700.

%C Row sums = A001700: (1, 3, 10, 35, 126, 462, ...).

%F Bisection of triangle A191314 extracting odd numbered rows. Accessing odd numbered columns of A205573, take finite differences of terms from the top -> down.

%e First few rows of the triangle =

%e 1;

%e 1, 2;

%e 1, 7, 2;

%e 1, 20, 12, 2;

%e 1, 54, 53, 16, 2;

%e 1, 143, 208, 88, 20, 2;

%e 1, 376, 768, 415, 130, 24, 2;

%e 1, 986, 2734, 1804, 700, 180, 28, 2;

%e ...

%e Row 3 = (1, 7, 2) = row 5 of triangle A191314; and finite differences of column 5 of triangle A205573: (1, 8, 10, ...).

%Y Cf. A001700, A191314, A205573.

%K nonn,tabl

%O 1,3

%A _Gary W. Adamson_, Feb 01 2012