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Number of positive nondecreasing integer sequences of length n whose Gilbreath transform is (1, 1, ..., 1).
4

%I #14 May 14 2023 02:10:10

%S 1,1,1,2,5,17,82,573,5839,86921,1890317,60013894,2778068147

%N Number of positive nondecreasing integer sequences of length n whose Gilbreath transform is (1, 1, ..., 1).

%e For n = 4, the a(4) = 5 sequences are:

%e (1, 2, 2, 2),

%e (1, 2, 2, 4),

%e (1, 2, 4, 4),

%e (1, 2, 4, 6),

%e (1, 2, 4, 8).

%Y Cf. A080839 (increasing sequences), A362451, A363003, A363004 (distinct positive integers), A363005 (distinct integers).

%K nonn,more

%O 0,4

%A _Pontus von Brömssen_, May 13 2023