OFFSET
0,3
COMMENTS
Number of n X 7 Young tableaux.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..177
Wikipedia, Hook length formula
FORMULA
a(n) = 0!*1!*...*6! * (7*n)! / ( n!*(n+1)!*...*(n+6)! ).
a(n) ~ 3110400 * 7^(7*n + 1/2) / (Pi^3 * n^24). - Vaclav Kotesovec, Nov 23 2018
MATHEMATICA
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 *)
PROG
(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
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 23 2018
STATUS
approved