login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A054543 Engel series expansion (or "Egyptian product") for Catalan's constant G. 8
2, 2, 2, 4, 4, 5, 5, 12, 13, 41, 110, 172, 248, 309, 3146, 5919, 21959, 22299, 30892, 401838, 1719239, 30576561, 262313756, 630913752, 3242181301, 3250783944, 13827502849, 40152067840, 137791590233, 2514510232695, 3217773878849 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 53-59.

LINKS

Simon Plouffe, Table of n, a(n) for n = 1..212

Steven R. Finch, Catalan's Constant [Broken link]

Steven R. Finch, Catalan's Constant [From the Wayback machine]

Oleg Marichev, Jonathan Sondow, and Eric W. Weisstein, Catalan's Constant, MathWorld.

Eric Weisstein's World of Mathematics, Engel Expansion

Index entries for sequences related to Engel expansions

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[Catalan, 7! ], 50] (* Vladimir Joseph Stephan Orlovsky, Jun 08 2009 *)

CROSSREFS

Cf. A006784, A028254, A028257, A006752, A104338, A014538, A153069, A153070, A118323.

Sequence in context: A096323 A282562 A035682 * A240861 A029046 A035372

Adjacent sequences:  A054540 A054541 A054542 * A054544 A054545 A054546

KEYWORD

nonn

AUTHOR

Jeppe Stig Nielsen, Apr 09 2000

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 23 07:11 EDT 2019. Contains 328336 sequences. (Running on oeis4.)