A368807 - OEIS

%I #5 Jan 06 2024 11:28:56

%S 1,4,6720,19313344512000,20823306760116073109787770880000000,

%T 127561365195629861072526583814017987280486114546255888016998400000000000000

%N a(n) = Product_{k1=1..k2, k2=1..k3, k3=1..k4, k4=1..n} (k1 + k2 + k3 + k4).

%F Limit_{n->oo} (a(n)^(1/n^4)) / n^(1/24) = 2^(19/18) / (3^(9/16) * exp(25/288)) = 1.0272449259573526742294526185907726081185052788527643...

%t Table[Product[Product[Product[Product[k1 + k2 + k3 + k4, {k1, 1, k2}], {k2, 1, k3}], {k3, 1, k4}], {k4, 1, n}], {n, 0, 8}]

%Y Cf. A324427, A324441.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, Jan 06 2024