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 A307588 Numbers k such that the digits of k^(1/3) begin with k. 9
 0, 1, 31, 999, 1000, 31622, 999999, 1000000, 31622776, 999999999, 1000000000, 31622776601, 999999999999, 1000000000000, 31622776601683, 999999999999999, 1000000000000000, 31622776601683792, 31622776601683793, 999999999999999999, 1000000000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Program is in A307371. The subsequence {31, 31622, 31622776, 31622776601, 31622776601683, ...} looks like this subsequence of A052210 {32, 31623, 316228, 3162278, 31622777, ..., 316227766016838, ...}. - Bernard Schott, May 04 2019 LINKS Chai Wah Wu, Table of n, a(n) for n = 1..1172 EXAMPLE 31622^(1/3) = 31.62251..., which begins with "31622", so 31622 is in the sequence. The seeming pattern a(3k) = floor(10^(3k-3/2)), a(3k+1) = 10^(3k) - 1, a(3k+2) = 10^(3k), is broken at a(18) = a(19) - 1 = floor(10^(33/2)) - 1. - Jon E. Schoenfield, May 01 2019 CROSSREFS Cf. A307371, A307600. Cf. A052210 (analog for 3rd power instead of 1/3). Sequence in context: A138958 A158675 A154808 * A218285 A138861 A015257 Adjacent sequences: A307585 A307586 A307587 * A307589 A307590 A307591 KEYWORD nonn,base AUTHOR Dmitry Kamenetsky, Apr 17 2019 EXTENSIONS a(10)-a(21) from Jon E. Schoenfield, May 01 2019 STATUS approved

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Last modified September 7 15:41 EDT 2024. Contains 375730 sequences. (Running on oeis4.)