The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A368722 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A368722

a(n) = Product_{i=1..n, j=1..n, k=1..n} (i^3 + j^3 + k^3).
(history; published version)

#8 by Vaclav Kotesovec at Sat Jan 06 14:05:58 EST 2024

STATUS

editing

approved

#7 by Vaclav Kotesovec at Sat Jan 06 14:05:53 EST 2024

FORMULA

Limit_{n->oo} a(n)^(1/(n^3)) / n^3 = exp(Integral_{x=0..1, y=0..1, z=0..1} log(x^3 + y^3 + z^3) dz dy dx) = 0.5334736919095334736919092639993380174031245...

STATUS

approved

editing

#6 by Michael De Vlieger at Thu Jan 04 08:56:43 EST 2024

STATUS

reviewed

approved

#5 by Joerg Arndt at Thu Jan 04 08:24:40 EST 2024

STATUS

proposed

reviewed

#4 by Vaclav Kotesovec at Thu Jan 04 07:21:52 EST 2024

STATUS

editing

proposed

#3 by Vaclav Kotesovec at Thu Jan 04 06:51:09 EST 2024

FORMULA

Limit_{n->oo} a(n)^(1/(n^3)) / n^3 = exp(Integral_{x=0..1, y=0..1, z=0..1} log(x^3 + y^3 + z^3) dz dy dx) = 0.533473691909...

#2 by Vaclav Kotesovec at Thu Jan 04 04:48:06 EST 2024

NAME

allocated for Vaclav Kotesovec

a(n) = Product_{i=1..n, j=1..n, k=1..n} (i^3 + j^3 + k^3).

DATA

1, 3, 353736000, 4795587079853800623303366670123008000000

OFFSET

0,2

COMMENTS

Next term is too long to be included.

MATHEMATICA

Table[Product[i^3 + j^3 + k^3, {i, 1, n}, {j, 1, n}, {k, 1, n}], {n, 0, 5}]

CROSSREFS

Cf. A306594, A324425, A368723.

Cf. A324426, A368720.

KEYWORD

allocated

nonn

AUTHOR

Vaclav Kotesovec, Jan 04 2024

STATUS

approved

editing

#1 by Vaclav Kotesovec at Thu Jan 04 04:43:11 EST 2024

NAME

allocated for Vaclav Kotesovec

KEYWORD

allocated

STATUS

approved