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.
%I A100695 #22 Oct 27 2023 20:06:21 %S A100695 2,6,4,20,3,42,24,18,15,231,12,156,231,10,240,32640,9,342,180,126,99, %T A100695 34362,8,600,312,216,168,24360,120,633759288,96,88,16728,9240,72,6808, %U A100695 5016,6552,60,28536,7,1806,924,630,483,779730,336,294,138075,238,79716 %N A100695 Largest denominator used in the Egyptian fraction representation of n/(n + 1) by the greedy algorithm. %C A100695 a(n) = A247765(n,A100678(n)). - _Reinhard Zumkeller_, Sep 25 2014 %H A100695 Alois P. Heinz, <a href="/A100695/b100695.txt">Table of n, a(n) for n = 1..5000</a> (first 100 terms from Reinhard Zumkeller) %H A100695 <a href="https://oeis.org/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a> %e A100695 a(16) = 32640 because 16/17 = 1/2 + 1/3 + 1/10 + 1/128 + 1/32640. %t A100695 a[n_] := Module[{m = n/(n+1)}, While[Numerator[m]>1, m = m-1/Ceiling[1/m]]; 1/m]; Array[a, 100] (* _Jean-François Alcover_, Mar 12 2019, after _M. F. Hasler_ *) %o A100695 (PARI) a(n)={n/=(n+1);while(numerator(n)>1,n-=1/ceil(1/n));1/n} \\ _M. F. Hasler_, Sep 24 2014 %o A100695 (Haskell) %o A100695 a100695 = last . a247765_row -- _Reinhard Zumkeller_, Sep 25 2014 %Y A100695 Cf. A100678. %Y A100695 Cf. A247765. %K A100695 nonn %O A100695 1,1 %A A100695 _John W. Layman_, Dec 08 2004