OFFSET
0,6
COMMENTS
By rows, equals partial sums of A053121 reversed rows. Example: Row 4 of A053121 = (2, 0, 3, 0, 1) -> (1, 0, 3, 0, 2) -> (1, 1, 4, 4, 6). - Gary W. Adamson, Dec 28 2008, edited by Michel Marcus, Sep 22 2015
LINKS
FORMULA
T(n,k) = C(n,floor(k/2)). - Paul Barry, Dec 15 2006; corrected by Philippe Deléham, Mar 15 2007
EXAMPLE
Triangle begins:
1;
1,1;
1,1,2;
1,1,3,3;
1,1,4,4,6;
MAPLE
for n from 0 to 10 do sort([seq(binomial(n, k), k=0..n)]) od; # yields sequence in triangular form. - Emeric Deutsch, May 28 2005
MATHEMATICA
Flatten[ Table[ Sort[ Table[ Binomial[n, k], {k, 0, n}]], {n, 0, 12}]] (* Robert G. Wilson v, May 28 2005 *)
PROG
(Haskell)
import Data.List (sort)
a107430 n k = a107430_tabl !! n !! k
a107430_row n = a107430_tabl !! n
a107430_tabl = map sort a007318_tabl
-- Reinhard Zumkeller, May 26 2013
(Magma) /* As triangle */ [[Binomial(n, Floor(k/2)) : k in [0..n]]: n in [0.. 15]]; // Vincenzo Librandi, Sep 22 2015
(PARI) for(n=0, 20, for(k=0, n, print1(binomial(n, floor(k/2)), ", "))) \\ G. C. Greubel, May 22 2017
CROSSREFS
KEYWORD
AUTHOR
Philippe Deléham, May 21 2005
EXTENSIONS
More terms from Emeric Deutsch and Robert G. Wilson v, May 28 2005
STATUS
approved