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%I #11 Oct 24 2022 15:12:00
%S 1,1,7,25,427,1911,18051,87945,3518515,17943211,185961113,976288495,
%T 20727407743,111039591475,1199227922235,6520801221225,570761912807235,
%U 3139190488028595,34696316039725725,192564553799569875,4291438629174301605,23993043241870766505,269139354637637831685
%N Numerators of coefficients in Taylor series expansion of sqrt(m(x)) where m(x) is g.f. for Motzkin numbers A001006.
%e The coefficients are [1, 1/2, 7/8, 25/16, 427/128, 1911/256, 18051/1024, 87945/2048, 3518515/32768, 17943211/65536, 185961113/262144, 976288495/524288, 20727407743/4194304, 111039591475/8388608, 1199227922235/33554432, 6520801221225/67108864, ...
%Y The denominators appear to be A046161. Cf. A001006.
%K sign,frac
%O 0,3
%A _N. J. A. Sloane_, Aug 27 2015
%E Name corrected by Werner Schulte, Oct 24 2022
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