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.

A078713 Sum of squares of the distances between successive divisors of n.

This page as a plain text file.
%I A078713 #5 Apr 10 2018 14:54:24
%S A078713 0,1,4,5,16,11,36,21,40,35,100,43,144,75,108,85,256,101,324,131,216,
%T A078713 203,484,171,416,291,364,259,784,273,900,341,552,515,804,385,1296,651,
%U A078713 780,519,1600,551,1764,659,960,971,2116,683,1800,885,1356,931,2704,911,1988
%N A078713 Sum of squares of the distances between successive divisors of n.
%H A078713 Harvey P. Dale, <a href="/A078713/b078713.txt">Table of n, a(n) for n = 1..1000</a>
%e A078713 The divisors of 10 are 1, 2, 5, 10 and the sum of the squares of the distances between successive divisors = (2-1)^2 + (5-2)^2 + (10-5)^2 = 35. Hence a(10) = 35.
%t A078713 f[n_] := Module[{d, l, s, i}, d = Divisors[n]; l = Length[d]; s = 0; For[i = 1, i < l, i++, s = s + (d[[i + 1]] - d[[i]])^2]; s]; Table[f[n], {n, 1, 100}]
%t A078713 Table[Total[Differences[Divisors[n]]^2],{n,60}] (* _Harvey P. Dale_, Apr 10 2018 *)
%K A078713 nonn
%O A078713 1,3
%A A078713 _Joseph L. Pe_, Dec 19 2002