A175363 Partial sums of A175362.

1, 5, 9, 9, 9, 9, 9, 9, 13, 21, 21, 21, 21, 21, 21, 21, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 29, 37, 37, 37, 37, 37, 37, 37, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 49, 49, 49, 49, 49, 49, 49, 49, 49, 49, 53, 61, 61, 61, 61, 61, 61, 61

Offset

0,2

Comments

Number of integer pairs (x,y) satisfying |x|^3+|y|^3 <= n, any -n <= x,y <=n.

Links

Table of n, a(n) for n=0..71.

Example

a(1) = 5 counts (x,y) = (-1,0), (0,-1), (0,0), (0,1) and (1,0).

Prog

(Python)
from sympy import integer_nthroot
def A175363(n): return 1+(sum(integer_nthroot(n-k**3, 3)[0] for k in range(integer_nthroot(n, 3)[0]+1))<<2) # Chai Wah Wu, Feb 23 2026

Crossrefs

Cf. A175362.

Cubic variant of A057655.

Sequence in context: A180014 A105643 A175373 * A073168 A315121 A127500

Adjacent sequences: A175360 A175361 A175362 * A175364 A175365 A175366

Keyword

nonn

Author

R. J. Mathar, Apr 24 2010

Status

approved