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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
OFFSET
1,37
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
KEYWORD
nonn
AUTHOR
EXTENSIONS
Example added by R. J. Mathar, Oct 02 2009
STATUS
approved