login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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