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A278111 Triangle T(n,k) = floor(2n^2/k) for 1 <= k <= 2n^2, read by rows. 2

%I #9 Sep 08 2022 08:46:17

%S 2,1,8,4,2,2,1,1,1,1,18,9,6,4,3,3,2,2,2,1,1,1,1,1,1,1,1,1,32,16,10,8,

%T 6,5,4,4,3,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,50,25,16,12,

%U 10,8,7,6,5,5,4,4,3,3,3,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1

%N Triangle T(n,k) = floor(2n^2/k) for 1 <= k <= 2n^2, read by rows.

%H Jason Kimberley, <a href="/A278111/b278111.txt">Table of i, a(i) for i = 1..11050 (T(n,k) for n = 1..25)</a>

%F T(n,k) = A010766(2n^2,k).

%e The first five rows are:

%e 2, 1;

%e 8, 4, 2, 2, 1, 1, 1, 1;

%e 18, 9, 6, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%e 32, 16, 10, 8, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%e 50, 25, 16, 12, 10, 8, 7, 6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1;

%o (Magma)

%o A278111:=func<n,k|(2*n^2)div k>;

%o [A278111(n,k):k in[1..2*n^2],n in[1..5]];

%Y Cf. A277646.

%K nonn,tabf,easy

%O 1,1

%A _Jason Kimberley_, Feb 08 2017

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Last modified August 15 11:07 EDT 2024. Contains 375173 sequences. (Running on oeis4.)