A172283 (-9,11) Pascal triangle.

1, -9, 11, -9, 2, 11, -9, -7, 13, 11, -9, -16, 6, 24, 11, -9, -25, -10, 30, 35, 11, -9, -34, -35, 20, 65, 46, 11, -9, -43, -69, -15, 85, 111, 57, 11, -9, -52, -112, -84, 70, 196, 168, 68, 11, -9, -61, -164, -196, -14, 266, 364, 236, 79, 11

Offset: 0

Author

Mark Dols, Jan 30 2010

Keywords

• tabl
• sign

Comments

Triangle T(n,k), read by rows, given by [-9,10,0,0,0,0,0,0,0,...] DELTA [11,-10,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938. - Philippe Deléham, Feb 01 2010

Examples

			Triangle begins:
               1
           -9,   11
        -9,    2,   11
     -9,   -7,   13,   11
  -9,  -16,    6,   24,   11
		

Crossrefs

Cf. A093644, A172179, A022114, A000984.

Formula

With offset 0: Sum_{k=0..n} T(n,k) = 2^n. - Philippe Deléham, Feb 01 2010

T(n,k) = T(n-1,k-1) + T(n-1,k) with T(0,0)=1, T(1,0)=-9, T(1,1)=1. - Philippe Deléham, Oct 08 2011

G.f.: (1-10*x+10*y*x)/(1-x-y*x). - Philippe Deléham, Apr 13 2012

Extensions

More terms from Philippe Deléham, Oct 08 2011