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

0,2

Comments

Row sums give A178869

Links

Table of n, a(n) for n=0..35.

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

Example

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

Sequence in context: A276379 A165293 A038303 * A075505 A130310 A333685

Adjacent sequences: A178867 A178868 A178869 * A178871 A178872 A178873

Keyword

sign,tabl

Author

Mark Dols, Jun 20 2010

Extensions

More terms from Philippe Deléham, Feb 27 2013

Status

approved