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A166337
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a(n)=(2n+0^n)*C(4n,2n).
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7
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1, 12, 280, 5544, 102960, 1847560, 32449872, 561632400, 9617286240, 163352435400, 2756930576400, 46290177201840, 773942488394400, 12893881856650704, 214163336821292320, 3547937446945842720
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OFFSET
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0,2
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COMMENTS
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The aerated sequence gives the central coefficients in number triangle A166335.
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LINKS
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FORMULA
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D-finite with recurrence (2*n-1)*(n-1)*a(n) -2*(4*n-1)*(4*n-3)*a(n-1)=0. - R. J. Mathar, Feb 27 2023
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MATHEMATICA
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Join[{1}, Table[(2n)*Binomial[4n, 2n], {n, 20}]] (* Harvey P. Dale, Jan 21 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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