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A172283 (-9,11) Pascal triangle. 1

%I #19 Jan 25 2020 01:26:45

%S 1,-9,11,-9,2,11,-9,-7,13,11,-9,-16,6,24,11,-9,-25,-10,30,35,11,-9,

%T -34,-35,20,65,46,11,-9,-43,-69,-15,85,111,57,11,-9,-52,-112,-84,70,

%U 196,168,68,11,-9,-61,-164,-196,-14,266,364,236,79,11

%N (-9,11) Pascal triangle.

%C 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

%F With offset 0: Sum_{k=0..n} T(n,k) = 2^n. - _Philippe Deléham_, Feb 01 2010

%F 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

%F G.f.: (1-10*x+10*y*x)/(1-x-y*x). - _Philippe Deléham_, Apr 13 2012

%e Triangle begins:

%e 1

%e -9, 11

%e -9, 2, 11

%e -9, -7, 13, 11

%e -9, -16, 6, 24, 11

%Y Cf. A093644, A172179, A022114, A000984.

%K tabl,sign

%O 0,2

%A _Mark Dols_, Jan 30 2010

%E More terms from _Philippe Deléham_, Oct 08 2011

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Last modified April 23 08:33 EDT 2024. Contains 371905 sequences. (Running on oeis4.)