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%I #9 Dec 26 2016 13:31:29
%S 1,3,16,38,42,139,168,385,633,942,1728,3017,3842,17453,32989,39408,
%T 177334,268130,822437,1522942,3247926,5937944,22736433,34285758,
%U 51598089,57736381,105470828,173010552,541826347,1758595979,1803356572,3331293851,3545862229
%N Pierce Expansion of coth(1).
%H G. C. Greubel, <a href="/A280093/b280093.txt">Table of n, a(n) for n = 0..1000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PierceExpansion.html">Pierce Expansion</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Engel_expansion">Engel Expansion</a>
%t PierceExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@
%t NestList[{Floor[1/Expand[1 - #[[1]] #[[2]]]], Expand[1 - #[[1]] #[[2]]]} &, {Floor[1/(A - Floor[A])], A - Floor[A]}, n - 1]]; PierceExp[N[Coth[1] , 7!], 50]
%Y Cf. A073747 (coth(1)).
%K nonn
%O 0,2
%A _G. C. Greubel_, Dec 25 2016