A186149 Rank of n^2 when {(1/4)i^3: i>=1} and {j^2>: j>=1} are jointly ranked with (1/4)i^3 before j^2 when (1/4)i^3=j^2. Complement of A186148.

2, 4, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 48, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 70, 71, 72, 74, 75, 76, 77, 79, 80, 81, 83, 84, 85, 86, 88, 89, 90, 91, 93, 94, 95, 96, 98, 99, 100, 101, 103, 104, 105, 106, 108, 109, 110, 111, 113, 114, 115, 116, 118, 119, 120, 121, 123, 124, 125, 126, 128, 129, 130, 131, 132, 134

Offset

1,1

Comments

See A186148 and A186145.

Links

Table of n, a(n) for n=1..100.

Formula

a(n) = n + floor((4*n^2 + 1/2)^(1/3)).

Example

See A186148.

Mathematica

(See A186148.)

Prog

(Python)
from sympy import integer_nthroot
def A186149(n): return n+integer_nthroot((n<<1)**2, 3)[0] # Chai Wah Wu, Oct 15 2025

Crossrefs

Cf. A186145, A186148.

Sequence in context: A080037 A184012 A186354 * A298861 A114571 A376452

Adjacent sequences: A186146 A186147 A186148 * A186150 A186151 A186152

Keyword

nonn

Author

Clark Kimberling, Feb 13 2011

Status

approved