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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
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
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
Sequence in context: A096323 A282562 A035682 * A240861 A029046 A035372
KEYWORD
nonn
AUTHOR
Jeppe Stig Nielsen, Apr 09 2000
STATUS
approved

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Last modified February 20 21:52 EST 2024. Contains 370219 sequences. (Running on oeis4.)