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.

A038389 Let f(n) be the smallest number such that the arithmetic mean (A) and geometric mean (G) of n and f(n) are both integers; sequence gives A values.

This page as a plain text file.
%I A038389 #25 Feb 12 2018 16:40:05
%S A038389 1,2,3,4,5,6,7,5,5,10,11,12,13,14,15,10,17,10,19,20,21,22,23,15,13,26,
%T A038389 15,28,29,30,31,17,33,34,35,20,37,38,39,25,41,42,43,44,25,46,47,30,25,
%U A038389 26,51,52,53,30,55,35,57,58,59,60,61,62,35,34,65,66,67,68,69,70,71,37,73,74,39,76,77,78
%N A038389 Let f(n) be the smallest number such that the arithmetic mean (A) and geometric mean (G) of n and f(n) are both integers; sequence gives A values.
%C A038389 It is the average of A038387 with n, both of which are multiplicative. - _Christian G. Bower_, May 16 2005
%C A038389 However, this sequence is not multiplicative. The first nonmultiplicative term is a(72) = 37 which is not multiplicative since a(8)*a(9) = 5*5 = 25. - _Andrew Howroyd_, Feb 12 2018
%H A038389 Andrew Howroyd, <a href="/A038389/b038389.txt">Table of n, a(n) for n = 1..1000</a>
%t A038389 Table[k = 1; While[Nand @@ IntegerQ /@ {a = (n + k)/2, Sqrt[n*k]}, k++]; a, {n, 78}] (* _Jayanta Basu_, Jul 14 2013 *)
%o A038389 (PARI) a(n)={for(k=1, n, if((n+k)%2==0 && issquare(n*k), return((n+k)/2)))} \\ _Andrew Howroyd_, Feb 12 2018
%Y A038389 Cf. A038387, A038388.
%K A038389 nonn
%O A038389 1,2
%A A038389 _N. J. A. Sloane_