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 A193596 Triangle given by p(n,k) = ceiling(C(n,k)/2). 2
 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, 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, 105, 126, 105, 60, 23, 5, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS p(n,k) = (A007318(n,k) + A047999(n,k))/2. - Jeremy Gardiner, Jul 28 2013. LINKS Reinhard Zumkeller, Rows n = 0..124 of triangle, flattened FORMULA p(n,k)=ceiling((1/2)C(n,k)). EXAMPLE First 5 rows of A193596: 1 1....1 1....1....1 1....2....2....1 1....2....3....2....1 MATHEMATICA (See A193597, the augmentation of A193596.) PROG (Haskell) a193596 n k = a193596_tabl !! n !! k a193596_row n = a193596_tabl !! n a193596_tabl = map (map ((flip div 2) . (+ 1))) a007318_tabl -- Reinhard Zumkeller, Jan 31 2015 CROSSREFS Cf. A193597. Cf. A007318. Sequence in context: A245558 A011847 A091325 * A275420 A143974 A301565 Adjacent sequences:  A193593 A193594 A193595 * A193597 A193598 A193599 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Jul 31 2011 STATUS approved

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Last modified April 20 23:46 EDT 2021. Contains 343143 sequences. (Running on oeis4.)