The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A375887

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Showing entries 1-10 | older changes

A375887

Decimal expansion of Product_{n>=2} zeta(n)^n.
(history; published version)

#22 by Michael De Vlieger at Mon Sep 02 17:41:22 EDT 2024

STATUS

reviewed

approved

#21 by Vaclav Kotesovec at Mon Sep 02 17:36:31 EDT 2024

STATUS

proposed

reviewed

#20 by Vaclav Kotesovec at Mon Sep 02 17:36:22 EDT 2024

STATUS

editing

proposed

#19 by Vaclav Kotesovec at Mon Sep 02 17:36:01 EDT 2024

MAPLE

evalf(Product(Zeta(n)^n, n = 2 .. infinity), 150); # Vaclav Kotesovec, Sep 02 2024

STATUS

proposed

editing

#18 by Richard R. Forberg at Mon Sep 02 12:49:43 EDT 2024

STATUS

editing

proposed

#17 by Richard R. Forberg at Mon Sep 02 12:43:19 EDT 2024

COMMENTS

It is interesting to note that this product is very close in value to 3 * Sum_{n>=2} (zeta(n)^n-1) , A375920, where that factor's first 30 digits are: 3.00012312615292744064909403341.

CROSSREFS

Cf. A375920,(Sum_{n>=2} (zeta(n)^n-1)), A021002 (Product_{n>=2} zeta(n)), A093720 (Sum_{n >= 2} zeta(n)/n!), A013661 (zeta(2)).

STATUS

proposed

editing

Discussion

Mon Sep 02

12:49

Richard R. Forberg: I think this is complete now.  Thank you Andrew and Amiram. -- Rick

#16 by Amiram Eldar at Mon Sep 02 01:57:29 EDT 2024

STATUS

editing

proposed

#15 by Amiram Eldar at Mon Sep 02 01:57:24 EDT 2024

PROG

(PARI) prodinf(k = 2, zeta(k)^k) \\ Amiram Eldar, Sep 02 2024

STATUS

proposed

editing

#14 by Amiram Eldar at Mon Sep 02 01:44:15 EDT 2024

STATUS

editing

proposed

#13 by Amiram Eldar at Mon Sep 02 01:43:42 EDT 2024

MATHEMATICA

RealDigits[N[Product[Zeta[n]^n, {n, 2, 500}], 150]][[1]]

STATUS

proposed

editing