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A321976
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7-dimensional Catalan numbers.
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4
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1, 1, 429, 1385670, 13672405890, 278607172289160, 9490348077234178440, 475073684264389879228560, 32103104214166146088869942000, 2760171874087743799855959353857200, 289232890341906497299306268771988273600, 35764585916110766978895474668714467232388000
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OFFSET
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0,3
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COMMENTS
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Number of n X 7 Young tableaux.
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LINKS
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FORMULA
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a(n) = 0!*1!*...*6! * (7*n)! / ( n!*(n+1)!*...*(n+6)! ).
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MATHEMATICA
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Table[24883200*(7*n)!/(n!*(n+1)!*(n+2)!*(n+3)!*(n+4)!*(n+5)!*(n+6)!), {n, 0, 15}] (* Vincenzo Librandi, Nov 24 2018 *)
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PROG
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(PARI) {a(n) = 24883200*(7*n)!/(n!*(n+1)!*(n+2)!*(n+3)!*(n+4)!*(n+5)!*(n+6)!)}
(Magma) [24883200*Factorial(7*n) / (Factorial(n)*Factorial(n + 1)*Factorial(n + 2)*Factorial(n + 3)*Factorial(n + 4)*Factorial(n + 5)*Factorial(n + 6)): n in [0..15]]; // Vincenzo Librandi, Nov 24 2018
(GAP) List([0..15], n->24883200*Factorial(7*n)/Product([0..6], k->Factorial(n+k))); # Muniru A Asiru, Nov 25 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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