cp's OEIS Frontend

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.

A235711 Arithmetic derivative of quarter squares.

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%I A235711 #16 Apr 11 2025 03:26:41
%S A235711 0,0,0,1,4,5,6,16,32,24,10,31,60,41,14,92,192,156,108,123,140,87,22,
%T A235711 188,384,220,26,131,252,247,240,608,1024,560,34,375,756,417,38,476,
%U A235711 960,704,420,493,572,321,46,1036,2112,1340,500,635,780,1107,1458,1620
%N A235711 Arithmetic derivative of quarter squares.
%H A235711 Reinhard Zumkeller, <a href="/A235711/b235711.txt">Table of n, a(n) for n = 0..10000</a>
%F A235711 a(n) = A003415(A002620(n));
%F A235711 a(2*n) = A068720(n), n > 0.
%t A235711 ad[n_] := n * Plus @@ ((Last[#]/First[#]) & /@ FactorInteger[n]); ad[0] = ad[1] = 0; a[n_] := ad[Floor[n^2/4]]; Array[a, 100, 0] (* _Amiram Eldar_, Apr 11 2025 *)
%o A235711 (Haskell)
%o A235711 a235711 = a003415 . a002620
%Y A235711 Cf. A002620, A003415, A068720.
%K A235711 nonn,easy
%O A235711 0,5
%A A235711 _Reinhard Zumkeller_, Mar 18 2014