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A172283 (-9,11) Pascal triangle. 1
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

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

LINKS

Table of n, a(n) for n=0..54.

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

EXAMPLE

Triangle begins:

               1

           -9,   11

        -9,    2,   11

     -9,   -7,   13,   11

  -9,  -16,    6,   24,   11

CROSSREFS

Cf. A093644, A172179, A022114, A000984.

Sequence in context: A058069 A266703 A266701 * A172185 A098728 A233408

Adjacent sequences:  A172280 A172281 A172282 * A172284 A172285 A172286

KEYWORD

tabl,sign

AUTHOR

Mark Dols, Jan 30 2010

EXTENSIONS

More terms from Philippe Deléham, Oct 08 2011

STATUS

approved

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Last modified March 1 17:42 EST 2021. Contains 341737 sequences. (Running on oeis4.)