A186154 Rank of (1/8)n^3 when {(1/8)i^3: i>=1} and {j^2>: j>=1} are jointly ranked with (1/8)i^3 after j^2 when (1/8)i^3=j^2. Complement of A186155.

1, 3, 4, 6, 8, 11, 13, 16, 18, 21, 23, 26, 29, 32, 35, 38, 41, 45, 48, 51, 55, 58, 61, 65, 69, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 125, 129, 133, 138, 142, 147, 151, 156, 160, 165, 170, 175, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 245, 250, 255, 260, 266, 271, 277, 282, 288, 293, 299, 304, 310, 315, 321, 327, 332, 338, 344, 350, 356, 362, 367, 373, 379, 385, 391, 397, 403, 410

Offset

1,2

Comments

A186154 results from changing "before" to "after" in the name of A186152. See A186145 for a discussion of adjusted joint rank sequences.

Links

Table of n, a(n) for n=1..93.

Mathematica

d=-1/16; u=1/8; v=1; p=3; q=2;
h[n_]:=((u*n^p-d)/v)^(1/q);
a[n_]:=n+Floor[h[n]]; (* rank of u*n^p *)
k[n_]:=((v*n^q+d)/u)^(1/p);
b[n_]:=n+Floor[k[n]]; (* rank of v*n^q *)
Table[a[n], {n, 1, 100}]  (* A186154 *)
Table[b[n], {n, 1, 100}]  (* A186155 *)

Crossrefs

Cf. A186145, A186155.

Sequence in context: A020901 A181714 A057057 * A030711 A030761 A060903

Adjacent sequences: A186151 A186152 A186153 * A186155 A186156 A186157

Keyword

nonn

Author

Clark Kimberling, Feb 13 2011

Status

approved