OFFSET
0,3
COMMENTS
Number of n X 8 Young tableaux.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..146
Wikipedia, Hook length formula
FORMULA
a(n) = 0!*1!*...*7! * (8*n)! / ( n!*(n+1)!*...*(n+7)! ).
a(n) ~ 1913625 * 2^(24*n + 14) / (Pi^(7/2) * n^(63/2)). - Vaclav Kotesovec, Nov 23 2018
MATHEMATICA
Table[125411328000 (8 n)! / (n! (n+1)! (n+2)! (n+3)! (n+4)! (n+5)! (n+6)! (n + 7)!), {n, 0, 15}] (* Vincenzo Librandi, Nov 24 2018 *)
PROG
(Magma) [125411328000*Factorial(8*n)/(Factorial(n)*Factorial(n + 1)*Factorial(n + 2)*Factorial(n + 3)*Factorial(n + 4)*Factorial(n + 5)*Factorial(n + 6)*Factorial(n + 7)): n in [0..15]]; // Vincenzo Librandi, Nov 24 2018
(GAP) List([0..15], n->125411328000*Factorial(8*n)/Product([0..7], k->Factorial(n+k))); # Muniru A Asiru, Nov 25 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Nov 23 2018
STATUS
approved