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A161618 Engel expansion of Pi^Pi. 0
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 7, 9, 23, 43, 128, 1847, 10674, 256943, 951850, 1361782, 1407741, 2143780, 3702054, 13341664, 17967518, 101541311, 159133300, 246184506, 3508330471 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,37

LINKS

Table of n, a(n) for n=1..57.

Index to sequences related to Engel expansions

EXAMPLE

A073233 = 36.462... = 1/1 +1/1 +1/1 +... +1/(1*3) +1/(1*3*3) +1/(1*3*3*7) +1/(1*3*3*7*9) +...

MATHEMATICA

EngelExp[A_, n_]:=Join[Array[1&, Floor[A]], First@Transpose@NestList[ {Ceiling[1/Expand[ #[[1]]#[[2]]-1]], Expand[ #[[1]]#[[2]]-1 ]}&, {Ceiling[1/(A-Floor[A])], A-Floor[A]}, n-1 ]]; EngelExp[N[Pi^Pi, 7! ], 50]

CROSSREFS

Sequence in context: A056295 A117525 A075149 * A202873 A157933 A013915

Adjacent sequences:  A161615 A161616 A161617 * A161619 A161620 A161621

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 14 2009

EXTENSIONS

Example added by R. J. Mathar, Oct 02 2009

STATUS

approved

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Last modified May 29 10:05 EDT 2020. Contains 334699 sequences. (Running on oeis4.)