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%I #15 Jul 02 2023 09:56:08
%S 1,1,3,19,201,3081,62663,1598185,49158651,1772832643,73394322615,
%T 3431751900897,178904412061235,10290301519034057,647401635395456919,
%U 44227879174393279133
%N Number of vector sums of two permutations of 1,2,...,n.
%C Also, number of vector differences of two permutations of 1,2,...,n.
%C Number of distinct sums up to the order of components is given by A019589. - _Max Alekseyev_, Jun 19 2023
%C a(n) <= A362968(n). - _Max Alekseyev_, Jun 19 2023
%e The permutation sums for n=2 are (1,2) + (1,2) = (2,4); (1,2) + (2,1) = (2,1) + (1,2) = (3,3); (2,1) + (2,1) = (4,2); so a(2)=3.
%Y Cf. A019589, A362968.
%K nonn,more
%O 0,3
%A _R. H. Hardin_, Feb 28 2010
%E a(0)=1 prepended by _Alois P. Heinz_, Jun 19 2023
%E a(11)-a(15) from _Max Alekseyev_, Jul 2 2023
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