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 A081168 Differences of Beatty sequence for square root of 10. 0
 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Start with 3 and applies the morphism : 3 ->3,3,3,3,3,4 4 ->3,3,3,3,3,3,4. More generally for a(n,m)=floor((n+1)*sqrt(m^2+1))-floor(n*sqrt(m^2+1)) start with m and applies the morphism : m ->m^(2m-1),m+1; m+1 ->m^(2m),m+1 LINKS FORMULA a(n)=floor((n+1)*sqrt(10))-floor(n*sqrt(10)) PROG (PARI) a(n)=floor((n+1)*sqrt(10))-floor(n*sqrt(10)) CROSSREFS Cf. A006337. Sequence in context: A247970 A063438 A276870 * A301415 A210509 A333819 Adjacent sequences:  A081165 A081166 A081167 * A081169 A081170 A081171 KEYWORD nonn AUTHOR Benoit Cloitre, Apr 16 2003 STATUS approved

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Last modified September 27 13:39 EDT 2020. Contains 337380 sequences. (Running on oeis4.)