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 A374359 a(1) = 2, a(n) = 5 for n > 1. 2
 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Decimal expansion of 23/9, which is an approximation of the 5th root of 109 (A374357). Simple continued fraction expansion of (1 + sqrt(29))/14 = (1 + A010484)/14. LINKS Table of n, a(n) for n=1..100. Greg Martin and Winnie Miao, abc triples, arXiv:1409.2974 [math.NT], 2014. See p. 5. Index entries for linear recurrences with constant coefficients, signature (1). FORMULA G.f.: x*(2 + 3*x)/(1 - x). a(n) = a(n-1) for n > 2. E.g.f.: 5*exp(x) - 3*x - 5. EXAMPLE 2.555555555555555555555555555555555555555... MATHEMATICA LinearRecurrence[{1}, {2, 5}, 100] CROSSREFS Cf. A374357 (decimal expansion of the 5th root of 109), A374358 (continued fraction of the 5th root of 109). Cf. A010484. Essentially the same as A021022 and A010716. Sequence in context: A240947 A023398 A374357 * A186501 A235452 A171438 Adjacent sequences: A374356 A374357 A374358 * A374360 A374361 A374362 KEYWORD nonn,cofr,cons,easy,less AUTHOR Stefano Spezia, Jul 06 2024 STATUS approved

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Last modified August 4 13:17 EDT 2024. Contains 374921 sequences. (Running on oeis4.)