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%I #9 Feb 22 2013 14:40:25
%S 1,10,1,90,20,1,800,280,30,1,7100,3400,570,40,1,63000,38300,8800,960,
%T 50,1,559000,412000,120600,18000,1450,60,1,4960000,4296000,1530000,
%U 291000,32000,2040,70,1
%N Riordan array (1/(1-10*x-10*x^2), x/(1-10*x-10*x^2)).
%C Row sums are A000042(n+1).
%C Subtriangle of triangle given by (0, 10, -1, 1, 0, 0, 0, 0, 0, 0, 0, ...) DELTA (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...) where DELTA is the operator defined in A084938.
%F T(n,k) = 10*T(n-1,k) - 10*T(n-2,k) + T(n-1,k-1).
%F G.f.: 1/(1-10*x+10*x^2-y*x).
%F Sum_{k, 0<=k} T(n,k)*x^k = A178869(n+1), A057086(n), A000042(n+1) for x = -1, 0, 1 respectively.
%e Triangle begins :
%e 1
%e 10, 1
%e 90, 20, 1
%e 800, 280, 30, 1
%e 7100, 3400, 570, 40, 1
%e 63000, 38300, 8800, 960, 50, 1
%e 559000, 412000, 120600, 18000, 1450, 60, 1
%e 4960000, 4296000, 1530000, 291000, 32000, 2040, 70, 1
%e Triangle (0, 10, -1, 1, 0, 0, 0, ...) DELTA (1, 0, 0, 0, 0, 0, 0, 0, ...) begins :
%e 1
%e 0, 1
%e 0, 10, 1
%e 0, 90, 20, 1
%e 0, 800, 280, 30, 1
%e 0, 7100, 3400, 570, 40, 1 ...
%Y Cf. A101950, A178865,
%K easy,nonn,tabl
%O 0,2
%A _Philippe Deléham_, Feb 12 2012
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