# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a327412 Showing 1-1 of 1 %I A327412 #16 Feb 29 2020 03:34:55 %S A327412 1,10,560,92400,33633600,22870848000,26072766720000,46174869861120000, %T A327412 120054661638912000000,438679733628584448000000, %U A327412 2175851478797778862080000000,14240947928731462652313600000000,120136636726778618934917529600000000,1280656547507460077846220865536000000000 %N A327412 a(n) = multinomial(3*n+2; 2, 3, 3, ..., 3) (n times '3'). %F A327412 a(n) = 2^(-n-1)*3^(-n)*Gamma(3*n + 3). %F A327412 a(n) = (9*(n-1)^3 + 36*(n-1)^2 + 47*n - 27)*a(n-1)/2 for n > 0. %F A327412 a(n) / n! = A025035(n+1). %F A327412 a(n)*(n+1) = A014606(n+1). %p A327412 a:= n-> combinat[multinomial](3*n+2, 3$n, 2): %p A327412 seq(a(n), n=0..17); # _Alois P. Heinz_, Sep 07 2019 %o A327412 (SageMath) %o A327412 def a(n): return multinomial([2] + [3] * n) %o A327412 [a(n) for n in range(15)] %Y A327412 Cf. A014606, A327411, A025035. %K A327412 nonn %O A327412 0,2 %A A327412 _Peter Luschny_, Sep 07 2019 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE