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%I #9 Dec 26 2016 13:31:22
%S 1,1,2,8,12,44,51,298,934,1041,2267,2668,13150,28929,42652,610672,
%T 1630027,2535276,5451792,14793658,32179208,38644893,45925185,59151658,
%U 80924233,118811249,273877246,611892649,1688111599,11265859421,22104337881,31986803107,104253472513
%N Pierce Expansion of tan(1).
%H G. C. Greubel, <a href="/A280092/b280092.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[Tan[1] , 7!], 50]
%Y Cf. A049471 (tan(1)).
%K nonn
%O 0,3
%A _G. C. Greubel_, Dec 25 2016
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