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%I #7 Apr 28 2018 23:46:24
%S 1,1,1,10,3,1,215,41,6,1,12231,1115,105,10,1,2025462,74862,3466,215,
%T 15,1,1351857641,14294210,267281,8372,385,21,1,6255560531733,
%U 10837663111,57646358,727049,17318,630,28,1
%N Triangle read by rows: T(n,k) = number of sequences of n positive integers with reciprocals adding up to k (k=1,2,...,n).
%e Triangle starts with:
%e n=1: 1
%e n=2: 1, 1
%e n=3: 10, 3, 1
%e n=4: 215, 41, 6, 1
%e n=5: 12231, 1115, 105, 10, 1
%e n=6: 2025462, 74862, 3466, 215, 15, 1
%e ...
%Y Cf. A280517 (row sums), A002967 (column k=1), A156869 (nondecreasing sequences), A280520 (increasing sequences).
%K nonn,tabl
%O 1,4
%A _Max Alekseyev_, Jan 04 2017
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