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A110321 A Jacobsthal number related number triangle. 3

%I

%S 1,1,1,6,2,1,30,18,3,1,264,120,36,4,1,2520,1320,300,60,5,1,30960,

%T 15120,3960,600,90,6,1,428400,216720,52920,9240,1050,126,7,1,6894720,

%U 3427200,866880,141120,18480,1680,168,8,1,123742080,62052480,15422400,2600640

%N A Jacobsthal number related number triangle.

%C Row sums are A110322. Diagonal sums are A110323. Inverse is A110324.

%F Number triangle T(n, k)=if(k<=n, n!*J(n-k+1)/k!), 0) where J(n)=A001045(n); Column k has e.g.f. (x^k/k!)/(1-x-2x^2);

%e Rows begin

%e 1;

%e 1,1;

%e 6,2,1;

%e 30,18,3,1;

%e 264,120,36,4,1;

%e 2520,1320,300,60,5,1;

%e 30960,15120,3960,600,6,1;

%K easy,nonn,tabl

%O 0,4

%A _Paul Barry_, Jul 20 2005

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Last modified August 3 15:25 EDT 2021. Contains 346438 sequences. (Running on oeis4.)