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A106187 Sequence array for central binomial numbers A000984. 3

%I #5 Apr 08 2013 05:18:00

%S 1,2,1,6,2,1,20,6,2,1,70,20,6,2,1,252,70,20,6,2,1,924,252,70,20,6,2,1,

%T 3432,924,252,70,20,6,2,1,12870,3432,924,252,70,20,6,2,1,48620,12870,

%U 3432,924,252,70,20,6,2,1,184756,48620,12870,3432,924,252,70,20,6,2,1

%N Sequence array for central binomial numbers A000984.

%C Row sums are A006134. Diagonal sums are A106188.

%C The matrix inverse starts

%C 1;

%C -2,1;

%C -2,-2,1;

%C -4,-2,-2,1;

%C -10,-4,-2,-2,1;

%C -28,-10,-4,-2,-2,1;

%C -84,-28,-10,-4,-2,-2,1;

%C -264,-84,-28,-10,-4,-2,-2,1;

%C -858,-264,-84,-28,-10,-4,-2,-2,1;

%C apparently related to A002420. - _R. J. Mathar_, Apr 08 2013

%F Number triangle T(n, k)=binomial(2(n-k), n-k); Riordan array (1/sqrt(1-4x), x).

%e Table begins

%e 1;

%e 2,1;

%e 6,2,1;

%e 20,6,2,1;

%e 70,20,6,2,1;

%p A106187 := proc(n,k)

%p binomial(2*(n-k),n-k) ;

%p end proc: # _R. J. Mathar_, Apr 08 2013

%K easy,nonn,tabl

%O 0,2

%A _Paul Barry_, Apr 24 2005

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Last modified April 24 14:32 EDT 2024. Contains 371960 sequences. (Running on oeis4.)