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A111965 Riordan array (1/sqrt(1-6x+5x^2),x/(1-6x+5x^2)). 1

%I #4 Mar 30 2012 18:59:12

%S 1,3,1,11,6,1,45,31,9,1,195,156,60,12,1,873,781,360,98,15,1,3989,3906,

%T 2055,684,145,18,1,18483,19531,11403,4395,1155,201,21,1,86515,97656,

%U 62132,26856,8260,1800,266,24,1,408105,488281,334260,158692,55188,14190

%N Riordan array (1/sqrt(1-6x+5x^2),x/(1-6x+5x^2)).

%C Row sums are A111966. Factors as (1/(1-x),x/(1-x))*(1/sqrt(1-4x),x/sqrt(1-4x)).

%F Number triangle T(n, k)=sum{j=0..n, C((k+2j-1)/2, j)C(j, n-j-k)(-6)^(k-n+2j)5^(n-k-j)}

%e 1;

%e 3,1;

%e 11,6,1;

%e 45,31,9,1;

%e 195,156,60,12,1;

%e 873,781,360,98,15,1;

%K easy,nonn,tabl

%O 0,2

%A _Paul Barry_, Aug 23 2005

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Last modified April 23 08:19 EDT 2024. Contains 371905 sequences. (Running on oeis4.)