%I #13 Jan 11 2020 15:23:25
%S 1,1,1,1,2,1,1,1,2,1,1,2,2,3,1,1,1,1,2,2,1,1,2,3,2,3,3,1,1,1,2,1,2,2,
%T 3,1,1,2,1,2,2,2,3,3,1,1,1,2,2,1,2,2,3,3,1,1,2,2,2,3,2,3,4,4,4,1,1,1,
%U 1,1,2,1,2,2,2,2,3,1,1,2,3,3,3,3,2,3,3,3,3,4,1,1,1,2,2,2,3,1,2
%N Triangle read by rows: T(n,k) = minimal number of terms needed to write k/n (for 1 <= k <= n) as a sum of unit fractions.
%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>
%F T(n, n-1) = A330808(n). - _Jon E. Schoenfield_, Jan 11 2020
%e Triangle begins:
%e 1
%e 1 1
%e 1 2 1
%e 1 1 2 1
%e 1 2 2 3 1
%e 1 1 1 2 2 1
%e 1 2 3 2 3 3 1
%e 1 1 2 1 2 2 3 1
%e 1 2 1 2 2 2 3 3 1
%e 1 1 2 2 1 2 2 3 3 1
%e 1 2 2 2 3 2 3 4 4 4 1
%Y Cf. A097848, A097849, A330808.
%Y Row sums give A270429.
%K nonn,tabl
%O 1,5
%A _Franklin T. Adams-Watters_, Aug 31 2004
|