A358646 Decimal expansion of 3/4 + log(4).
2, 1, 3, 6, 2, 9, 4, 3, 6, 1, 1, 1, 9, 8, 9, 0, 6, 1, 8, 8, 3, 4, 4, 6, 4, 2, 4, 2, 9, 1, 6, 3, 5, 3, 1, 3, 6, 1, 5, 1, 0, 0, 0, 2, 6, 8, 7, 2, 0, 5, 1, 0, 5, 0, 8, 2, 4, 1, 3, 6, 0, 0, 1, 8, 9, 8, 6, 7, 8, 7, 2, 4, 3, 9, 3, 9, 3, 8, 9, 4, 3, 1, 2, 1, 1, 7, 2, 6, 6, 5
Offset: 1
Examples
2.13629436111989061883446424291635313615100026872051050824136...
Links
- Jason Bard, Table of n, a(n) for n = 1..10000
- Joerg Bruedern and Trevor D. Wooley, Partitio Numerorum: sums of a prime and a number of k-th powers, arXiv:2211.10387 [math.NT], 2022, see p. 15.
- Index entries for transcendental numbers.
Programs
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Mathematica
First[RealDigits[N[3/4+Log[4],90]]]
Formula
Equals 2 + Integral_{x=0..1} (1 + x)*log(1 + x) - x dx. - Kritsada Moomuang, May 23 2025
Equals 2 + Sum_{k>=2} (-1)^k/(k*(k+1)*(k-1)). - Davide Rotondo, May 24 2025
Equals Integral_{x=1..2} 2/x + x/2 dx = 3/2 + Integral_{x=1..2} 2/x - x/2 dx. - Jason Bard, Jun 29 2025