The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A372861

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A372861

Decimal expansion of (1 + log(16))/256.
(history; published version)

#7 by N. J. A. Sloane at Sun Jun 30 22:04:49 EDT 2024

STATUS

proposed

approved

#6 by Clark Kimberling at Thu Jun 13 08:45:45 EDT 2024

STATUS

editing

proposed

#5 by Clark Kimberling at Thu Jun 13 08:39:24 EDT 2024

FORMULA

Equals Integral_{x=2..oo} log(x)^/x^5 dx.

#4 by Alois P. Heinz at Wed Jun 12 21:11:47 EDT 2024

STATUS

proposed

editing

#3 by Clark Kimberling at Wed Jun 12 19:09:30 EDT 2024

STATUS

editing

proposed

Discussion

Wed Jun 12

21:11

Alois P. Heinz: typo in formula ...

#2 by Clark Kimberling at Wed Jun 12 19:01:46 EDT 2024

NAME

allocated for Clark Kimberling

Decimal expansion of (1 + log(16))/256.

DATA

1, 4, 7, 3, 6, 6, 7, 4, 6, 9, 6, 2, 4, 9, 1, 4, 5, 4, 5, 9, 6, 4, 4, 2, 5, 1, 8, 9, 7, 7, 8, 4, 0, 0, 8, 8, 7, 6, 1, 7, 9, 6, 8, 9, 5, 9, 9, 3, 7, 8, 9, 8, 8, 3, 4, 5, 6, 3, 5, 6, 2, 5, 1, 4, 8, 3, 3, 4, 2, 7, 5, 3, 4, 3, 2, 7, 6, 4, 7, 9, 9, 3, 1, 3, 4

OFFSET

0,2

FORMULA

Equals Integral_{x=2..oo} log(x)^x^5 dx.

EXAMPLE

0.0147366746962491454596442518977840088761796895993...

MATHEMATICA

s = Integrate[Log[x]/x^5, {x, 2, Infinity}]

d = N[s, 100]

Join[{0}, First[RealDigits[d]]]

N[1/256 (1 + Log[16]), 100]

CROSSREFS

Cf. A372858, A372859, A372860.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling, Jun 12 2024

STATUS

approved

editing

#1 by Clark Kimberling at Wed May 15 04:25:20 EDT 2024

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved