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A214075 Triangle read by rows: T(n,k) = floor(A213998(n,k) / A213999(n,k)), 0<=k<=n. 6

%I #8 Jul 13 2013 12:04:28

%S 1,1,0,1,1,0,1,2,1,0,1,3,4,2,0,1,4,7,6,2,0,1,5,12,14,8,2,0,1,6,17,26,

%T 22,11,2,0,1,7,24,44,49,34,13,2,0,1,8,31,68,93,83,47,16,2,0,1,9,40,

%U 100,162,177,131,64,19,2,0,1,10,49,140,263,340,309

%N Triangle read by rows: T(n,k) = floor(A213998(n,k) / A213999(n,k)), 0<=k<=n.

%C T(n,0) = 1;

%C T(n,1) = n - 1 for n > 0, cf. A001477;

%C T(n,2) = A074148(n-2) for n > 2;

%C T(n,n-2) = A022819(n) for n > 1;

%C T(n,n-1) = A055980(n) for n > 0;

%C T(n,n) = A000007(n).

%H Reinhard Zumkeller, <a href="/A214075/b214075.txt">Rows n = 0..150 of triangle, flattened</a>

%e Start of triangle preceded by triangle "A213998/A213999":

%e . 0: 1 1

%e . 1: 1 1/2 1 0

%e . 2: 1 3/2 1/3 1 1 0

%e . 3: 1 5/2 11/6 1/4 1 2 1 0

%e . 4: 1 7/2 13/3 25/12 1/5 1 3 4 2 0

%e . 5: 1 9/2 47/6 77/12 137/60 1/6 1 4 7 6 2 0

%e . 6: 1 11/2 37/3 57/4 87/10 49/20 1/7, 1 5 12 14 8 2 0.

%o (Haskell)

%o a214075 n k = a214075_tabl !! n !! k

%o a214075_row n = a214075_tabl !! n

%o a214075_tabl = zipWith (zipWith div) a213998_tabl a213999_tabl

%K nonn,tabl

%O 0,8

%A _Reinhard Zumkeller_, Jul 03 2012

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Last modified April 20 12:36 EDT 2024. Contains 371844 sequences. (Running on oeis4.)