A175360 Partial sums of A000132.

1, 11, 51, 131, 221, 333, 573, 893, 1093, 1343, 1903, 2463, 2863, 3423, 4223, 5183, 5913, 6393, 7633, 9153, 9905, 11025, 12865, 14465, 15665, 16875, 18875, 21115, 22715, 24395, 27115, 30315, 31795, 33235, 36915, 39955, 42205, 45005, 48285

Offset: 0

Author

R. J. Mathar, Apr 24 2010

Keywords

• nonn

Comments

The 5th row of A122510.

Links

• Chai Wah Wu, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000132, A055411, A122510.

Programs

Python

# uses Python code for A046895
from math import isqrt
def A175360(n): return A046895(n)+(sum(A046895(n-k**2) for k in range(1,isqrt(n)+1))<<1) # Chai Wah Wu, Jun 23 2024

Formula

a(n^2) = A055411(n).

G.f.: theta_3(x)^5 / (1 - x). - Ilya Gutkovskiy, Feb 13 2021