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 A268237 From the Fouriest transform of n: write n in that base b >= 4 which maximizes the number of 4's; in case of a tie pick the smallest b; sequence gives the base b. 7
 4, 4, 4, 4, 5, 4, 4, 4, 4, 5, 6, 7, 8, 9, 5, 11, 6, 13, 7, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5, 7, 7, 7, 7, 5, 8, 8, 8, 8, 5, 9, 9, 9, 9, 10, 5, 5, 5, 11, 5, 11, 11, 12, 7, 5, 12, 13, 12, 6, 5, 14, 6, 6, 6, 6, 6, 14, 7, 16, 5, 5, 5, 17, 5, 5, 16, 18, 7, 7, 5, 19, 7, 6, 7, 20, 9, 18, 18, 21, 5, 19, 19, 22, 19, 5, 5, 23, 5, 5, 5, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS If no base b gives any 4's then we take b=4. a(n) > 4 for n >= 9 since 14 is n written in base n-4. - Chai Wah Wu, Feb 06 2016 LINKS Chai Wah Wu, Table of n, a(n) for n = 0..10000 Nathan Fox, First 10000 terms of A268236, A268237, A268238. Square brackets are used to separate the "digits" of A268236, since for n >= 66 these can be greater than 10. Zach Weinersmith, Fouriest number, SMBC (Saturday Morning Breakfast Cereal) column, Feb 01, 2013. CROSSREFS Cf. A268236 (Fouriest transform of n), A268238 (number of 4's). Sequence in context: A165923 A228729 A174444 * A276866 A331842 A006264 Adjacent sequences:  A268234 A268235 A268236 * A268238 A268239 A268240 KEYWORD nonn,base AUTHOR Jake Baron, Patrick Devlin, Nathan Fox, and N. J. A. Sloane, Feb 06 2016 STATUS approved

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Last modified July 2 15:50 EDT 2022. Contains 355029 sequences. (Running on oeis4.)