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.

A069257 Denominator of the last term of the Egyptian fraction sum (using the greedy algorithm) which satisfies 1 = 1/n + 1/(n+1) + 1/(n+2) ... 1/a(n).

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%I A069257 #4 Oct 18 2019 16:36:15
%S A069257 6,20,57960,3145940416080,5765760,
%T A069257 288680192354725622464710969631440008928,
%U A069257 20484953806009937929429725901717124022833778640,59553628273094395440,102119994931499628863688098762720537989600
%N A069257 Denominator of the last term of the Egyptian fraction sum (using the greedy algorithm) which satisfies 1 = 1/n + 1/(n+1) + 1/(n+2) ... 1/a(n).
%C A069257 The next term in the series, a(11), is 7*10^192.
%H A069257 Amiram Eldar, <a href="/A069257/b069257.txt">Table of n, a(n) for n = 2..14</a>
%e A069257 Since 1 = 1/3 + 1/4 + 1/5 + 1/6 + 1/20, a(3) = 20.
%t A069257 a[n_] := Module[{s = 1/n, k = n}, While[s < 1, k = Max[k + 1, Ceiling[1/(1 - s)]]; s += 1/k]; k]; Array[a, 9, 2] (* _Amiram Eldar_, Oct 18 2019 *)
%K A069257 easy,frac,nonn
%O A069257 2,1
%A A069257 Christopher Lund (clund(AT)san.rr.com), Apr 14 2002