A152828 Triangle read by rows, A007318 rows repeated three times .

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 4, 6, 4, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 5, 10, 10, 5, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 6, 15, 20, 15, 6, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 7, 21

Offset: 0

Author

Philippe Deléham, Dec 13 2008

Keywords

• easy
• nonn
• tabf

Comments

Diagonal sums : A079398 . Lengths of row are : 1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,... (A008620) .

Examples

			Triangle begins : 1 ; 1 ; 1 ; 1,1 ; 1,1 ; 1,1 ; 1,2,1 ; 1,2,1 ; 1,2,1 ; 1,3,3,1 ; 1,3,3,1 ; 1,3,3,1 ; 1,4,6,4,1 ; ...
		

Crossrefs

Cf. A007318, A152198, A152815

Programs

Mathematica

{#,#,#}&/@Table[Binomial[n,k],{n,0,11},{k,0,n}]//Flatten (* Harvey P. Dale, Jul 22 2024 *)