OFFSET
0,2
COMMENTS
LINKS
Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened
Gábor Kallós, A generalization of Pascal’s triangle using powers of base numbers, Annales mathématiques Blaise Pascal, 13 no. 1 (2006), p. 1-15.
FORMULA
G.f.: 1 / [1 - x(2+3y)].
EXAMPLE
Triangle begins:
1;
2,3;
4,12,9;
8,36,54,27;
16,96,216,216,81;
MATHEMATICA
Flatten[Table[Binomial[i, j] 2^(i-j) 3^j, {i, 0, 10}, {j, 0, i}]] (* Vincenzo Librandi, Apr 22 2014 *)
PROG
(Haskell)
a013620 n k = a013620_tabl !! n !! k
a013620_row n = a013620_tabl !! n
a013620_tabl = iterate (\row ->
zipWith (+) (map (* 2) (row ++ [0])) (map (* 3) ([0] ++ row))) [1]
-- Reinhard Zumkeller, May 26 2013, Apr 02 2011
CROSSREFS
KEYWORD
AUTHOR
STATUS
approved