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A028322
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Central elements in the 5-Pascal triangle A028313.
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8
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1, 5, 12, 38, 130, 462, 1680, 6204, 23166, 87230, 330616, 1259700, 4820452, 18513068, 71318400, 275467320, 1066432950, 4136847390, 16075953960, 62570669700, 243882320220, 951797460900, 3718872587040, 14545727618760
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OFFSET
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0,2
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LINKS
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FORMULA
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MATHEMATICA
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Table[(n+1)*(7*n-2)*CatalanNumber[n]/(2*(2*n-1)), {n, 0, 40}] (* G. C. Greubel, Jan 05 2024 *)
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PROG
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(Magma) [(n+1)*(7*n-2)*Catalan(n)/(2*(2*n-1)): n in [0..40]]; // G. C. Greubel, Jan 05 2024
(SageMath) [(7*n-2)*binomial(2*n, n)/(2*(2*n-1)) for n in range(41)] # G. C. Greubel, Jan 05 2024
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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