

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.


3



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, 15, 28, 29, 30, 31, 17, 33, 34, 35, 20, 37, 38, 39, 25, 41, 42, 43, 44, 25, 46, 47, 30, 25, 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
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OFFSET

1,2


COMMENTS

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


LINKS



MATHEMATICA

Table[k = 1; While[Nand @@ IntegerQ /@ {a = (n + k)/2, Sqrt[n*k]}, k++]; a, {n, 78}] (* Jayanta Basu, Jul 14 2013 *)


PROG

(PARI) a(n)={for(k=1, n, if((n+k)%2==0 && issquare(n*k), return((n+k)/2)))} \\ Andrew Howroyd, Feb 12 2018


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



