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Total number of preferential arrangements of 1, 2, ..., n things.
3

%I #5 Apr 12 2014 19:59:00

%S 1,4,17,92,633,5316,52609,598444,7685705,109933268,1732565841,

%T 29824133436,556682481817,11198025452260,241481216430113,

%U 5557135898411468,135927902927547369,3521462566184392692,96323049885512803825,2774010846129897006940

%N Total number of preferential arrangements of 1, 2, ..., n things.

%C Although A217389 = a(n)+1 already exists, it is this sequence that one really needs.

%F a(n) = Sum_{k=1..n} A000670(k).

%Y Cf. A000670, A217389.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, Apr 12 2014