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A186150
Rank of (1/4)n^3 when {(1/4)i^3: i>=1} and {j^2>: j>=1} are jointly ranked with (1/4)i^3 after j^2 when (1/4)i^3=j^2. Complement of A186151.
2
1, 3, 5, 8, 10, 13, 16, 19, 22, 25, 29, 32, 36, 40, 44, 48, 52, 56, 60, 64, 69, 73, 78, 82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 133, 138, 144, 149, 155, 160, 166, 172, 178, 183, 189, 195, 201, 208, 214, 220, 226, 233, 239, 245, 252, 258, 265, 272, 278, 285, 292, 299, 306, 313, 320, 327, 334, 341, 348, 355, 362, 370, 377, 384, 392, 399, 407, 414, 422, 430, 437, 445, 453, 461, 468, 476, 484, 492, 500, 508, 516, 525, 533, 541, 549, 557, 566, 574, 583, 591, 600
OFFSET
1,2
COMMENTS
See A186145.
MATHEMATICA
d=-1/8; u=1/4; 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}] (* A186150 *)
Table[b[n], {n, 1, 100}] (* A186151 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 13 2011
STATUS
approved