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 A281530 #17 Jan 24 2017 02:39:14 %S A281530 1,1,2,1,1,2,1,2,2,3,1,1,1,2,2,1,2,3,2,3,3,1,1,2,1,2,2,3,1,2,1,2,2,2, %T A281530 3,3,1,1,2,2,1,2,2,3,3,1,2,2,2,3,2,3,4,4,4,1,1,1,1,2,1,2,2,2,2,3,1,2, %U A281530 3,3,3,3,2,3,3,3,3,4,1,1,2,2,2,3,1,2,2,3,3,3,4,1,2,1,2,1,2,3,2,2,2,3,3,3,3 %N A281530 Triangle read by rows: T(n,k) = number of terms for the shortest Egyptian fraction representation of k/n, 1 <= k < n. %C A281530 Not same as A050205. Example: the fraction 9/20 requires three terms in its greedy expansion, but 9/20 = 1/4 + 1/5, so T(20,9) = 2. %H A281530 <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a> %e A281530 The triangle T(n,k) begins: %e A281530 2: 1 %e A281530 3: 1 2 %e A281530 4: 1 1 2 %e A281530 5: 1 2 2 3 %e A281530 6: 1 1 1 2 2 %e A281530 7: 1 2 3 2 3 3 %e A281530 8: 1 1 2 1 2 2 3 %e A281530 9: 1 2 1 2 2 2 3 3 %Y A281530 Cf. A281527. %K A281530 nonn,tabl %O A281530 2,3 %A A281530 _Arkadiusz Wesolowski_, Jan 23 2017