A178870 Signed Delannoy triangle convolved with 10^n.

1, 10, -1, 100, -30, 1, 1000, -500, 50, -1, 10000, -7000, 1300, -70, 1, 100000, -90000, 25000, -2500, 90, -1, 1000000, -1100000, 410000, -63000, 4100, -110, 1, 10000000, -13000000, 6100000, -1290000, 129000, -6100, 130, -1

Offset: 0

Author

Mark Dols, Jun 20 2010

Keywords

• sign
• tabl

Comments

Row sums give A178869

Examples

			Triangle begins:
1
10, -1
100, -30, 1
1000, -500, 50, -1
10000, -7000, 1300, -70, 1
100000, -90000, 25000, -2500, 90, -1
1000000, -1100000, 410000, -63000, 4100, -110, 1
10000000, -13000000, 6100000, -1290000, 129000, -6100, 130, -1
		

Crossrefs

Cf. A008288, A165293, A178865, A178869

Formula

T(n,k) = A008288(n,k)*(-10)^(n-k)*(-1)^n, A008288 seen as a triangle read by rows. - Philippe Deléham, Feb 27 2013

Extensions

More terms from Philippe Deléham, Feb 27 2013