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

0,2

Comments

The 5th row of A122510.

Links

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

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

Cf. A000132, A055411, A122510.

Sequence in context: A026684 A181619 A067983 * A226451 A185505 A051843

Adjacent sequences: A175357 A175358 A175359 * A175361 A175362 A175363

Keyword

nonn

Author

R. J. Mathar, Apr 24 2010

Status

approved