This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A178129 #7 Aug 29 2022 20:44:14 %S A178129 0,2,8,23,47,87,147,224,328,463,623,821,1049,1322,1644,2004,2420,2896, %T A178129 3418,4007,4647,5361,6153,7004,7940,8940,10032,11220,12480,13843, %U A178129 15313,16863,18527,20276,22146,24141,26229,28449,30767,33224,35824,38530 %N A178129 Partial sums of A050508. %C A178129 Partial sums of golden rectangle numbers. The subsequence %F A178129 a(n) = Sum_{i=0..n} A050508(i) = Sum_{i=0..n} (i*A007067(i)). %e A178129 a(19) = 0 + 2 + 6 + 15 + 24 + 40 + 60 + 77 + 104 + 135 + %o A178129 (Python) %o A178129 from math import isqrt %o A178129 from itertools import count, islice %o A178129 def A178129_gen(): # generator of terms %o A178129 return accumulate(n*((isqrt(5*n**2<<2)>>1)+n+1>>1) for n in count(0)) %o A178129 A178129_list = list(islice(A178129_gen(),10)) # _Chai Wah Wu_, Aug 29 2022 %Y A178129 Cf. A000201, A007064, A026355, A007067, A050508. %K A178129 easy,nonn %O A178129 0,2 %A A178129 _Jonathan Vos Post_, May 20 2010