A175360 - OEIS

%I #11 Jun 23 2024 22:00:14

%S 1,11,51,131,221,333,573,893,1093,1343,1903,2463,2863,3423,4223,5183,

%T 5913,6393,7633,9153,9905,11025,12865,14465,15665,16875,18875,21115,

%U 22715,24395,27115,30315,31795,33235,36915,39955,42205,45005,48285

%N Partial sums of A000132.

%C The 5th row of A122510.

%H Chai Wah Wu, <a href="/A175360/b175360.txt">Table of n, a(n) for n = 0..10000</a>

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

%F G.f.: theta_3(x)^5 / (1 - x). - _Ilya Gutkovskiy_, Feb 13 2021

%o (Python)

%o # uses Python code for A046895

%o from math import isqrt

%o 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

%Y Cf. A000132, A055411, A122510.

%K nonn

%O 0,2

%A _R. J. Mathar_, Apr 24 2010