A171984 -id:A171984 - cp's OEIS frontend

A198272 a(n) = round(n*sqrt(17)).

0, 4, 8, 12, 16, 21, 25, 29, 33, 37, 41, 45, 49, 54, 58, 62, 66, 70, 74, 78, 82, 87, 91, 95, 99, 103, 107, 111, 115, 120, 124, 128, 132, 136, 140, 144, 148, 153, 157, 161, 165, 169, 173, 177, 181, 186, 190, 194, 198, 202, 206, 210, 214, 219

Offset: 0

Vincenzo Librandi, Oct 25 2011

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Cf. A171984, A198395.

Magma
```
[Round(n*Sqrt(17)): n in [0..60]];
```

Round[Range[0,60]Sqrt[17]] (* Harvey P. Dale, Nov 29 2022 *)

A198395 a(n) = ceiling(n*sqrt(17)).

Original entry on oeis.org

0, 5, 9, 13, 17, 21, 25, 29, 33, 38, 42, 46, 50, 54, 58, 62, 66, 71, 75, 79, 83, 87, 91, 95, 99, 104, 108, 112, 116, 120, 124, 128, 132, 137, 141, 145, 149, 153, 157, 161, 165, 170, 174, 178, 182, 186, 190, 194, 198, 203, 207, 211, 215, 219

Offset: 0

Vincenzo Librandi, Oct 25 2011

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Cf. A171984, A198272.

Magma
```
[Ceiling(n*Sqrt(17)): n in [0..60]]
```

A246170 Beatty sequence for sqrt(14).

Original entry on oeis.org

3, 7, 11, 14, 18, 22, 26, 29, 33, 37, 41, 44, 48, 52, 56, 59, 63, 67, 71, 74, 78, 82, 86, 89, 93, 97, 101, 104, 108, 112, 115, 119, 123, 127, 130, 134, 138, 142, 145, 149, 153, 157, 160, 164, 168, 172, 175, 179, 183, 187, 190, 194, 198, 202, 205, 209, 213

Offset: 1

Vincenzo Librandi, Aug 20 2014

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. Beatty sequence for sqrt(k): A001951 (k=2), A022838 (k=3), A022839 (k=5), A022840 (k=6), A022841 (k=7), A022842 (k=8), A177102 (k=10), A171982 (k=11), A194028 (k=12), A173983 (k=13), this sequence (k=14), A246171 (k=15), A171984 (k=17).

Magma
```
[Floor(n*Sqrt(14)): n in [1..80]];
```

a[n_]:=Floor[n Sqrt[14]]; Array[a, 80, 1]

a(n) = floor(n*sqrt(14)).

cp's OEIS Frontend

A198272 a(n) = round(n*sqrt(17)).

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A198395 a(n) = ceiling(n*sqrt(17)).

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Magma

A246170 Beatty sequence for sqrt(14).

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