A140280 Product of digits of values in Pascal's triangle, by rows.

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 0, 0, 5, 1, 1, 6, 5, 0, 5, 6, 1, 1, 7, 2, 15, 15, 2, 7, 1, 1, 8, 16, 30, 0, 30, 16, 8, 1, 1, 9, 18, 32, 12, 12, 32, 18, 9, 1, 1, 0, 20, 0, 0, 20, 0, 0, 20, 0, 1, 1, 1, 25, 30, 0, 48, 48, 0, 30, 25, 1, 1

Offset: 0

Author

Jonathan Vos Post, May 31 2008

Keywords

• easy
• nonn
• tabl
• base

Examples

			1
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 1
1, 5, 1*0=0, 1*0=0, 5, 1
1, 6, 1*5=5, 2*0=0, 1*5=5, 6, 1
1, 7, 2*1=2, 3*5=15, 3*5=15, 2*1=2, 7, 1
1, 8, 2*8=16, 5*6=30, 7*0=0, 5*6=30, 2*8=16, 8, 1
1, 9, 3*6=18, 8*4=32, 1*2*6=12, 1*2*6=12, 8*4=32, 3*6=18, 9, 1
1, 1*0=0, 4*5=20, 1*2*0=0, 2*1*0=0, 2*5*2=20, 2*1*0=0, 1*2*0=0, 4*5=20, 1*0=0, 1
1, 1*1=1, 5*5=25, 1*6*5=30, 3*3*0=0, 4*6*2=48, 4*6*2=48, 3*3*0=0, 1*6*5=30, 5*5=25, 1*1=1, 1
		

Crossrefs

Cf. A007318, A007954.

Programs

Mathematica

Times@@@IntegerDigits@Flatten[Table[Binomial[n, k], {n, 0, 11}, {k, 0, n}]] (* James C. McMahon, Jul 06 2025 *)

Formula

T(n, k) = A007954(A007318(n, k)).

Extensions

Offset changed to 0 by Georg Fischer, Dec 19 2020