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Number of sequences of length n with a_{i-1} < a_i <= a_1 + ... + a_{i-1} + 1.
0

%I #11 Dec 12 2021 22:04:48

%S 1,1,2,8,60,814,19682,845368,64667265,8858208846,2187183422559,

%T 980066027140024,802239482287353308,1206926156307109333842,

%U 3355861121501172803943513,17332490160547182474207143566

%N Number of sequences of length n with a_{i-1} < a_i <= a_1 + ... + a_{i-1} + 1.

%C The sequences can alternatively be defined by the property that every integer between 0 and a_1 + ... + a_n can be represented as a sum of a subset of the terms in the sequence.

%H M. Cook and M. Kleber, <a href="https://doi.org/10.37236/1522">Tournament sequences and Meeussen sequences</a>, Electronic J. Comb. 7 (2000), #R44.

%K nonn

%O 1,3

%A _Michael Kleber_