login
A175360
Partial sums of A000132.
9
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
0,2
COMMENTS
The 5th row of A122510.
FORMULA
a(n^2) = A055411(n).
G.f.: theta_3(x)^5 / (1 - x). - Ilya Gutkovskiy, Feb 13 2021
PROG
(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
CROSSREFS
KEYWORD
nonn
AUTHOR
R. J. Mathar, Apr 24 2010
STATUS
approved