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%I #10 Mar 26 2022 13:42:18
%S 1,1,2,1,3,1,1,4,4,2,1,5,8,6,3,1,6,13,14,9,1,1,7,19,27,23,10,2,1,8,26,
%T 46,50,33,12,1,1,9,34,72,96,83,45,13,2,1,10,43,106,168,179,128,58,15,
%U 3,1,11,53,149,274,347,307,186,73,18,1,1,12,64,202,423,621,654,493,259,91
%N Array read by ascending antidiagonals generated from partial sums of A007001.
%C Given A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...) as first row of an array, n-th row = partial sum sequence of (n-1)-th row.
%C Row sums = A133914: (1, 3, 5, 11, 23, 44, 89, 177, 355, ...).
%C Right border = A007001: (1, 2, 1, 2, 3, 1, 2, 1, ...).
%e First few rows of the array:
%e 1, 2, 1, 2, 3, 1, 2, ...
%e 1, 3, 4, 6, 9, 10, 12, ...
%e 1, 4, 8, 14, 23, 33, 45, ...
%e 1, 5, 13, 27, 50, 83, 128, ...
%e 1, 6, 19, 46, 96, 179, 307, ...
%e ...
%e First few rows of the triangle:
%e 1;
%e 1, 2;
%e 1, 3, 1;
%e 1, 4, 4, 2;
%e 1, 5, 8, 6, 3;
%e 1, 6, 13, 14, 9, 1;
%e 1, 7, 19, 27, 23, 10, 2;
%e 1, 8, 26, 46, 50, 33, 12, 1;
%e 1, 9, 34, 72, 96, 83, 45, 13, 2;
%e 1, 10, 43, 106, 168, 179, 128, 58, 15, 3;
%e ...
%Y Cf. A007001, A133912, A133914.
%K nonn,tabl
%O 1,3
%A _Gary W. Adamson_, Sep 28 2007
%E Edited by _Jon E. Schoenfield_, Mar 26 2022
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