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A280094
Pierce Expansion of cot(1).
1
1, 2, 3, 6, 8, 12, 13, 15, 17, 19, 1063, 1155, 2574, 2662, 3595, 3723, 4370, 21530, 28927, 32662, 73255, 92895, 5133189, 13626701, 17852908, 392678721, 715595109, 3993107840, 39941257169, 43578446054, 1686996293054, 4244526044926, 78467829696572, 111290944386765
OFFSET
0,2
LINKS
Eric Weisstein's World of Mathematics, Pierce Expansion
Wikipedia, Engel Expansion
MATHEMATICA
PierceExp[A_, n_] := Join[Array[1 &, Floor[A]], First@Transpose@ NestList[{Floor[1/Expand[1 - #[[1]] #[[2]]]], Expand[1 - #[[1]] #[[2]]]} &, {Floor[1/(A - Floor[A])], A - Floor[A]}, n - 1]]; PierceExp[N[Cot[1] , 7!], 50]
CROSSREFS
Cf. A073449 (cot(1)).
Sequence in context: A276588 A275951 A276586 * A025053 A140496 A308843
KEYWORD
nonn
AUTHOR
G. C. Greubel, Dec 25 2016
STATUS
approved