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#7 by Michael De Vlieger at Thu Jan 04 08:57:03 EST 2024
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#6 by Joerg Arndt at Thu Jan 04 08:24:04 EST 2024
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#5 by Vaclav Kotesovec at Thu Jan 04 07:21:41 EST 2024
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#4 by Vaclav Kotesovec at Thu Jan 04 05:10:53 EST 2024
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| FORMULA
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Limit_{n->oo} a(n)^(1/(n^2)) / n^3 = exp(Integral_{x=0..1, y=0..1} log(x^3 + y^3 + 1) dy dx) = 1.4501318426779115107161463152054835452511102493859148975306452...
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#3 by Vaclav Kotesovec at Thu Jan 04 04:46:11 EST 2024
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| NAME
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allocated for Vaclav Kotesovec
a(n) = Product_{j=1..n, k=1..n} (j^3 + k^3 + n^3).
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| DATA
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1, 3, 69360, 1522177267723200, 391047538356893112890665992192000, 6785985430272886334677590546861463643140253138288640000000
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| OFFSET
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0,2
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| MATHEMATICA
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Table[Product[j^3 + k^3 + n^3, {j, 1, n}, {k, 1, n}], {n, 0, 6}]
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| CROSSREFS
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Cf. A368685, A368622, A368721.
Cf. A324426, A368722.
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| KEYWORD
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allocated
nonn
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| AUTHOR
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Vaclav Kotesovec, Jan 04 2024
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| STATUS
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approved
editing
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#2 by Vaclav Kotesovec at Thu Jan 04 04:43:11 EST 2024
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| KEYWORD
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allocating
allocated
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#1 by Vaclav Kotesovec at Thu Jan 04 04:43:11 EST 2024
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| NAME
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allocated for Vaclav Kotesovec
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| KEYWORD
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allocating
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| STATUS
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approved
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