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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

Table of n, a(n) for n=0..104.

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.)