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A075119 Denominator of n/floor(sqrt(n)); numerator is A073890(n). 4

%I #10 Jul 08 2014 11:16:47

%S 1,1,1,1,2,1,2,1,1,3,3,1,3,3,1,1,4,2,4,1,4,2,4,1,1,5,5,5,5,1,5,5,5,5,

%T 1,1,6,3,2,3,6,1,6,3,2,3,6,1,1,7,7,7,7,7,7,1,7,7,7,7,7,7,1,1,8,4,8,2,

%U 8,4,8,1,8,4,8,2,8,4,8,1,1,9,9,3,9,9,3,9,9,1,9,9,3,9,9,3,9,9,1,1,10,5,10,5

%N Denominator of n/floor(sqrt(n)); numerator is A073890(n).

%H Reinhard Zumkeller, <a href="/A075119/b075119.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000196(n)/A067815(n).

%p A075119:=n->denom(n/floor(sqrt(n))): seq(A075119(n), n=1..100); # _Wesley Ivan Hurt_, Jul 07 2014

%t Table[Denominator[n/Floor[Sqrt[n]]], {n, 100}] (* _Wesley Ivan Hurt_, Jul 07 2014 *)

%o (Haskell)

%o import Data.Ratio ((%), denominator)

%o a075119 n = denominator $ n % a000196 n

%o -- _Reinhard Zumkeller_, Jul 08 2014

%Y Cf. A000196, A067815.

%K nonn,frac

%O 1,5

%A _Reinhard Zumkeller_, Sep 03 2002

%E Numerator reference corrected by _Reinhard Zumkeller_, Jul 08 2014

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)