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%I
%S 1,1,1,1,2,1,1,4,4,1,1,6,11,7,1,1,10,27,29,12,1,1,14,57,96,72,21,1,1,
%T 21,117,277,319,176,38,1
%N Triangle in which the binomial transform of the n-th row lists the Euler Transform of the n-th sequence in Pascal's Triangle (A007318).
%C For example, 1,3,6,... transforms to 1,1,4,10,26,59,141,... differing slightly from A000293 which counts the solid partitions.
%e row six of A116672 is 1 10 27 29 12 1 generating 1 11 48 141 ... the seventh term in the Euler transforms of 1,1,1,...; 1,2,3,...; 1,3,6,... 1,4,10,... etc.
%Y Cf. A000293, A116673.
%K nonn
%O 1,5
%A _Alford Arnold_, Feb 22 2006
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