Sarah Nathanson - cp's OEIS frontend

User: Sarah Nathanson

Sarah Nathanson has authored 2 sequences.

A247964 Beatty sequence for e^(1/3): a(n) = floor(n*(e^(1/3))).

0, 1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 36, 37, 39, 40, 41, 43, 44, 46, 47, 48, 50, 51, 53, 54, 55, 57, 58, 60, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 87, 89, 90, 92, 93

Offset: 0

Sarah Nathanson, Oct 01 2014

nonn

The Beatty complement is given in A248522. - M. F. Hasler, Oct 07 2014

Paolo Xausa, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, Beatty Sequence.
Index entries for sequences related to Beatty sequences.

Cf. A248522, A022843, A061402, A092041, A098005, A198268.

static int a(int n) {return (int) (n*Math.pow(Math.E, (1.0/3))); }

Floor[Range[0,100]*Exp[1/3]] (* Paolo Xausa, Jul 16 2024 *)

a(n)=n\exp(-1/3) \\ M. F. Hasler, Oct 07 2014

A240977 Beatty sequence for cube root of Pi: a(n) = floor(n*Pi^(1/3)).

Original entry on oeis.org

0, 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 21, 23, 24, 26, 27, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 62, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77, 79, 80, 82, 83, 84

Offset: 0

Sarah Nathanson, Sep 30 2014

nonn

Beatty complement of A248524. - M. F. Hasler, Oct 07 2014

G. C. Greubel, Table of n, a(n) for n = 0..5000
Index entries for sequences related to Beatty sequences

Cf. A092039 (Pi^(1/3)), A022844 (similar for Pi), A037086 (similar for sqrt(Pi)), A248524.

static int a(int n) {return (int) (n*Math.pow(Math.PI,(1.0/3)));}

Table[Floor[n*(Pi^(1/3))], {n, 0, 50}] (* G. C. Greubel, Feb 14 2017 *)

a(n)=n\Pi^(-1/3) \\ M. F. Hasler, Oct 07 2014

a(n) = floor(n*(Pi^1/3)).

a(0)=0 prepended by Eric M. Schmidt, Oct 06 2014

Name edited by M. F. Hasler, Oct 07 2014

cp's OEIS Frontend

User: Sarah Nathanson

A247964 Beatty sequence for e^(1/3): a(n) = floor(n*(e^(1/3))).

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