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A000210 A Beatty sequence: [ n (e-1) ].
(Formerly M2393 N0950)
+0
6
1, 3, 5, 6, 8, 10, 12, 13, 15, 17, 18, 20, 22, 24, 25, 27, 29, 30, 32, 34, 36, 37, 39, 41, 42, 44, 46, 48, 49, 51, 53, 54, 56, 58, 60, 61, 63, 65, 67, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 85, 87, 89, 91, 92, 94, 96, 97, 99, 101, 103, 104, 106, 108, 109, 111, 113, 115, 116 (list; graph; listen)
OFFSET

1,2

COMMENT

The first 38 terms coincide with the corresponding terms of A082977, i.e. numbers that are congruent to {0, 1, 3, 5, 6, 8, 10} mod 12. - Giovanni Resta (g.resta(AT)iit.cnr.it), Mar 24 2006

REFERENCES

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.

LINKS

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Index entries for sequences related to Beatty sequences

MAPLE

A000210:=(2*z**4+z+1)*(z**2+z+1)/(z**6+z**5+z**4+z**3+z**2+z+1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Adjacent sequences: A000207 A000208 A000209 this_sequence A000211 A000212 A000213

Sequence in context: A139437 A083042 A082977 this_sequence A022838 A047329 A120243

KEYWORD

nonn

AUTHOR

njas

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 06 2000

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Last modified May 11 10:28 EDT 2008. Contains 139662 sequences.


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