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 A385177 #12 Jun 21 2025 11:24:41
%S A385177 1,3,5,8,12,16,21,26,32,39,46,54,63,72,82,92,103,115,127,140,153,167,
%T A385177 182,197,213,230,247,265,283,302,322,342,363,385,407,430,453,477,502,
%U A385177 527,553,579,606,634,662,691,721,751,782,813,845,878,911,945,979,1014,1050,1086,1123
%N A385177 a(n) = Sum_{k=1..n} ceiling(k/phi), where phi is the golden ratio (A001622).
%H A385177 Paolo Xausa, <a href="/A385177/b385177.txt">Table of n, a(n) for n = 1..10000</a>
%F A385177 a(n) = A183136(n) + n.
%t A385177 Accumulate[Ceiling[Range[100]/GoldenRatio]]
%o A385177 (Python)
%o A385177 from math import isqrt
%o A385177 def A385177(n): return n+sum(isqrt(5*i**2)-i>>1 for i in range(1,n+1)) # _Chai Wah Wu_, Jun 20 2025
%Y A385177 Cf. A001622, A183136.
%Y A385177 Partial sums of A019446.
%K A385177 nonn,easy
%O A385177 1,2
%A A385177 _Paolo Xausa_, Jun 20 2025