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A054543
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Engel series expansion (or "Egyptian product") for Catalan's constant G.
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7
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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; internal format)
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OFFSET
| 1,1
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REFERENCES
| S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 53-59.
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LINKS
| S. R. Finch, Catalan's Constant
Index entries for sequences related to Engel expansions
Eric Weisstein's World of Mathematics, Engel Expansion
Eric Weisstein's World of Mathematics, Catalan's Constant
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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] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 08 2009]
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CROSSREFS
| Cf. A006784, A028254, A028257.
Cf. A006752, A104338, A014538, A153069, A153070, A118323. - Stuart Clary (clary(AT)uakron.edu), Dec 17, 2008
Sequence in context: A089873 A096323 A035682 * A029046 A035372 A035576
Adjacent sequences: A054540 A054541 A054542 * A054544 A054545 A054546
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KEYWORD
| nonn
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AUTHOR
| Jeppe Stig Nielsen (sequence(AT)jeppesn.dk), Apr 09 2000
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