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A163168 Pierce expansion of sech(1). 1
1, 2, 3, 8, 9, 24, 37, 85, 1115, 29153, 423233, 2208087, 5102497, 9813637, 15922076, 19204759, 106559540, 120015709, 1493877142, 2199074984, 32818755269, 1505298832166, 1507229768977, 2841536357911, 14805574584765 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Pierce expansion of A073746.

LINKS

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

Eric Weisstein, Pierce Expansion, Mathworld.

FORMULA

0.648054... = 1/1 - 1/(1*2) + 1/(1*2*3) - 1/(1*2*3*8) + 1/(1*2*3*8*9) - ...

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[Sech[1] , 7!], 50] (* G. C. Greubel, Nov 14 2016 *)

CROSSREFS

Sequence in context: A103026 A098506 A279090 * A085453 A271394 A030439

Adjacent sequences:  A163165 A163166 A163167 * A163169 A163170 A163171

KEYWORD

nonn

AUTHOR

R. J. Mathar, Jul 22 2009

STATUS

approved

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Last modified October 19 04:40 EDT 2019. Contains 328211 sequences. (Running on oeis4.)