A280091 Pierce Expansion of tanh(1).

1, 4, 21, 38, 117, 7135, 7809, 1614095, 3624914, 8425892, 16789093, 18206374, 20026429, 106066483, 297533015, 329807820, 393798971, 762907505, 98220075842, 124475838767, 132042717951, 252079930415, 308550332741, 1938650338119, 10430003444835, 12126839108751

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

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[Tanh[1] , 7!], 50]

Crossrefs

Cf. A073744 (tanh(1)).

Sequence in context: A204557 A161444 A188219 * A086474 A085703 A063122

Adjacent sequences: A280088 A280089 A280090 * A280092 A280093 A280094

Keyword

nonn

Author

G. C. Greubel, Dec 25 2016

Status

approved