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%I #7 Aug 29 2022 20:44:14
%S 0,2,8,23,47,87,147,224,328,463,623,821,1049,1322,1644,2004,2420,2896,
%T 3418,4007,4647,5361,6153,7004,7940,8940,10032,11220,12480,13843,
%U 15313,16863,18527,20276,22146,24141,26229,28449,30767,33224,35824,38530
%N Partial sums of A050508.
%C Partial sums of golden rectangle numbers. The subsequence
%F a(n) = Sum_{i=0..n} A050508(i) = Sum_{i=0..n} (i*A007067(i)).
%e a(19) = 0 + 2 + 6 + 15 + 24 + 40 + 60 + 77 + 104 + 135 +
%o (Python)
%o from math import isqrt
%o from itertools import count, islice
%o def A178129_gen(): # generator of terms
%o return accumulate(n*((isqrt(5*n**2<<2)>>1)+n+1>>1) for n in count(0))
%o A178129_list = list(islice(A178129_gen(),10)) # _Chai Wah Wu_, Aug 29 2022
%Y Cf. A000201, A007064, A026355, A007067, A050508.
%K easy,nonn
%O 0,2
%A _Jonathan Vos Post_, May 20 2010
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