A352674 -id:A352674 - cp's OEIS frontend

A352675 Beatty sequence for (3/13)(4+sqrt(3)).

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 46, 47, 48, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 63, 64, 66, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 80, 82, 83, 84, 85, 87

Offset: 1

Clark Kimberling, Mar 26 2022

nonn

Index entries for sequences related to Beatty sequences

Cf. A352673, A352674 (complement)

z = 200; r = (3/2) (1 + Sqrt[3]); s = r/(r - 1);
Table[Floor[n r], {n, 1, z}]    (* A352674 *)
Table[Floor[n s], {n, 1, z}]    (* A352675 *)

a(n) = floor((3/13)*(4+sqrt(3))*n).

A352672 Decimal expansion of r = (3/2)*(1+sqrt(3)).

Original entry on oeis.org

4, 0, 9, 8, 0, 7, 6, 2, 1, 1, 3, 5, 3, 3, 1, 5, 9, 4, 0, 2, 9, 1, 1, 6, 9, 5, 1, 2, 2, 5, 8, 8, 0, 8, 5, 5, 0, 4, 1, 4, 2, 0, 7, 8, 8, 0, 7, 1, 5, 5, 7, 0, 9, 4, 2, 0, 8, 3, 7, 1, 0, 4, 6, 9, 1, 7, 7, 8, 9, 9, 5, 2, 5, 3, 6, 3, 2, 0, 0, 0, 5, 5, 6, 2, 1, 7

Offset: 1

Clark Kimberling, Mar 26 2022

			4.098076211353315940291169512258808550414...

Cf. A090388, A104956, A352673, A352674, A352676.

Apart from leading digits the same as A176325 and A104956.

r = N[(3/2) (1 + Sqrt[3]), 200]
RealDigits[r][[1]]

Equals A104956 + 3/2. - Michel Marcus, Mar 28 2022

Equals (3/2) * A090388. - Bernard Schott, Mar 28 2022

cp's OEIS Frontend

A352675 Beatty sequence for (3/13)(4+sqrt(3)).

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