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 A280136 Negative continued fraction of e (or negative continued fraction expansion of e). 1
 3, 4, 3, 2, 2, 2, 3, 8, 3, 2, 2, 2, 2, 2, 2, 2, 3, 12, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 16, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 20, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 24, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS After the first term (3), a pattern of groups consisting, for m>=1, of the number 4m, followed by 3, then 4m-1 2's, then 3. REFERENCES Leonard Eugene Dickson, History of the Theory of Numbers, page 379. LINKS EXAMPLE e = 2.71828... = 3 - (1/(4 - (1/(3 - (1/(...))))). PROG (PARI)  \p10000; p=exp(1.0); for(i=1, 300, print(i, " ", ceil(p)); p=ceil(p)-p; p=1/p ) CROSSREFS Cf. A003417 (continued fraction of e). Cf. A005131 (generalized continued fraction of e). Cf. A133570 (exact continued fraction of e). Cf. A228825 (delayed continued fraction of e). Cf. A280135 (negative continued fraction of Pi). Sequence in context: A225445 A167877 A308430 * A258451 A332412 A333229 Adjacent sequences:  A280133 A280134 A280135 * A280137 A280138 A280139 KEYWORD nonn AUTHOR Randy L. Ekl, Dec 26 2016 EXTENSIONS More terms from Jinyuan Wang, Mar 04 2020 STATUS approved

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Last modified June 3 05:29 EDT 2020. Contains 334798 sequences. (Running on oeis4.)