A368807 a(n) = Product_{k1=1..k2, k2=1..k3, k3=1..k4, k4=1..n} (k1 + k2 + k3 + k4).

1, 4, 6720, 19313344512000, 20823306760116073109787770880000000, 127561365195629861072526583814017987280486114546255888016998400000000000000

Offset

0,2

Links

Table of n, a(n) for n=0..5.

Formula

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

Mathematica

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

Crossrefs

Cf. A324427, A324441.

Sequence in context: A079232 A338665 A137045 * A077258 A272165 A371339

Adjacent sequences: A368804 A368805 A368806 * A368808 A368809 A368810

Keyword

nonn

Author

Vaclav Kotesovec, Jan 06 2024

Status

approved