A184522 Upper s-Wythoff sequence, where s=5n. Complement of A184523.

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 87, 88, 89, 90, 91, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 104, 106, 107, 108, 109, 110, 112, 113, 114, 115, 116, 118, 119, 120, 121, 122, 124, 125, 126, 127, 128, 129, 131, 132, 133, 134, 135, 137, 138, 139, 140, 141, 143

Offset

1,2

Comments

See A184117 for the definition of lower and upper s-Wythoff sequences.

Links

Table of n, a(n) for n=1..120.

Formula

a(n) = floor((n/2)*(-3+sqrt(29))).

Mathematica

k = 5; r = 0; d = Sqrt[4 + k^2];
a[n_] := Floor[(1/2) (d + 2 - k) (n + r/(d + 2))];
b[n_] := Floor[(1/2) (d + 2 + k) (n - r/(d + 2))];
Table[a[n], {n, 120}]
Table[b[n], {n, 120}]

Crossrefs

Cf. A184117, A184523.

Sequence in context: A232741 A108120 A108586 * A194386 A187390 A039215

Adjacent sequences: A184519 A184520 A184521 * A184523 A184524 A184525

Keyword

nonn,easy

Author

Clark Kimberling, Jan 16 2011

Status

approved