A161618 Engel expansion of Pi^Pi.

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

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 A350394

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