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A003512 A Beatty sequence: [ n( sqrt 3 + 2) ].
(Formerly M2622)
+0
3
3, 7, 11, 14, 18, 22, 26, 29, 33, 37, 41, 44, 48, 52, 55, 59, 63, 67, 70, 74, 78, 82, 85, 89, 93, 97, 100, 104, 108, 111, 115, 119, 123, 126, 130, 134, 138, 141, 145, 149, 153, 156, 160, 164, 167, 171, 175, 179, 182, 186 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization of the set of values f(n)=[ n alpha ], n=1,2,... Discrete Math. 2 (1972), no. 4, 335-345.

LINKS

Index entries for sequences related to Beatty sequences

MAPLE

Digits := 60: A003512 := proc(n) trunc( evalf( n*(sqrt(3)+2) )); end;

CROSSREFS

Cf. A003511.

Sequence in context: A004061 A000572 A059568 this_sequence A079710 A145832 A124981

Adjacent sequences: A003509 A003510 A003511 this_sequence A003513 A003514 A003515

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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