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

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 A344961 A343853

Adjacent sequences: A193593 A193594 A193595 * A193597 A193598 A193599

Keyword

nonn,tabl

Author

Clark Kimberling, Jul 31 2011

Status

approved