cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A358646 Decimal expansion of 3/4 + log(4).

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%I A358646 #27 Jun 30 2025 04:34:52
%S A358646 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,
%T A358646 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,
%U A358646 8,7,2,4,3,9,3,9,3,8,9,4,3,1,2,1,1,7,2,6,6,5
%N A358646 Decimal expansion of 3/4 + log(4).
%H A358646 Jason Bard, <a href="/A358646/b358646.txt">Table of n, a(n) for n = 1..10000</a>
%H A358646 Joerg Bruedern and Trevor D. Wooley, <a href="https://arxiv.org/abs/2211.10387">Partitio Numerorum: sums of a prime and a number of k-th powers</a>, arXiv:2211.10387 [math.NT], 2022, see p. 15.
%H A358646 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A358646 Equals 2 + Integral_{x=0..1} (1 + x)*log(1 + x) - x dx. - _Kritsada Moomuang_, May 23 2025
%F A358646 Equals 2 + Sum_{k>=2} (-1)^k/(k*(k+1)*(k-1)). - _Davide Rotondo_, May 24 2025
%F A358646 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
%e A358646 2.13629436111989061883446424291635313615100026872051050824136...
%t A358646 First[RealDigits[N[3/4+Log[4],90]]]
%Y A358646 Cf. A016627, A358645.
%K A358646 nonn,cons
%O A358646 1,1
%A A358646 _Stefano Spezia_, Nov 24 2022