A077121 Number of integer squares <= n^3.

1, 2, 3, 6, 9, 12, 15, 19, 23, 28, 32, 37, 42, 47, 53, 59, 65, 71, 77, 83, 90, 97, 104, 111, 118, 126, 133, 141, 149, 157, 165, 173, 182, 190, 199, 208, 217, 226, 235, 244, 253, 263, 273, 282, 292, 302, 312, 323, 333, 344, 354, 365, 375, 386, 397, 408, 420

Offset

0,2

Comments

a(n) = number of terms in n-th row of A167222. - Reinhard Zumkeller, Oct 31 2009

Links

Table of n, a(n) for n=0..56.

Formula

a(n) = floor(n^(3/2))+1 = A000093(n) + 1.

Example

Squares <= 3^3=27: 0, 1, 4, 9, 16 and 25, hence a(3)=6;

Prog

(Python)
from math import isqrt
def A077121(n): return isqrt(n**3)+1 # Chai Wah Wu, Sep 08 2024

Crossrefs

Cf. A065733, A077113.

Cf. A167223.

Sequence in context: A353159 A145441 A308012 * A302488 A348448 A140495

Adjacent sequences: A077118 A077119 A077120 * A077122 A077123 A077124

Keyword

nonn

Author

Reinhard Zumkeller, Oct 29 2002

Status

approved