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A193596 Triangle given by p(n,k) = ceiling(C(n,k)/2).

%I A193596 #14 Jan 31 2015 12:29:30
%S A193596 1,1,1,1,1,1,1,2,2,1,1,2,3,2,1,1,3,5,5,3,1,1,3,8,10,8,3,1,1,4,11,18,
%T A193596 18,11,4,1,1,4,14,28,35,28,14,4,1,1,5,18,42,63,63,42,18,5,1,1,5,23,60,
%U A193596 105,126,105,60,23,5,1
%N A193596 Triangle given by p(n,k) = ceiling(C(n,k)/2).
%C A193596 p(n,k) = (A007318(n,k) + A047999(n,k))/2. - _Jeremy Gardiner_, Jul 28 2013.
%H A193596 Reinhard Zumkeller, <a href="/A193596/b193596.txt">Rows n = 0..124 of triangle, flattened</a>
%F A193596 p(n,k)=ceiling((1/2)C(n,k)).
%e A193596 First 5 rows of A193596:
%e A193596 1
%e A193596 1....1
%e A193596 1....1....1
%e A193596 1....2....2....1
%e A193596 1....2....3....2....1
%t A193596 (See A193597, the augmentation of A193596.)
%o A193596 (Haskell)
%o A193596 a193596 n k = a193596_tabl !! n !! k
%o A193596 a193596_row n = a193596_tabl !! n
%o A193596 a193596_tabl = map (map ((flip div 2) . (+ 1))) a007318_tabl
%o A193596 -- _Reinhard Zumkeller_, Jan 31 2015
%Y A193596 Cf. A193597.
%Y A193596 Cf. A007318.
%K A193596 nonn,tabl
%O A193596 0,8
%A A193596 _Clark Kimberling_, Jul 31 2011