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A321114 Number of permutations p of [n] such that in 0p the largest up-jump equals seven and no down-jump is larger than 2.

%I A321114 #5 Oct 27 2018 16:21:09
%S A321114 74,528,3550,23284,151096,974472,6252218,39892080,253727936,
%T A321114 1611713082,10230277342,64911693746,411813289010,2612751224650,
%U A321114 16579665387410,105238154698686,668214471729004,4244427360639456,26970709343926262,171451330997483406,1090351846894142818
%N A321114 Number of permutations p of [n] such that in 0p the largest up-jump equals seven and no down-jump is larger than 2.
%H A321114 Alois P. Heinz, <a href="/A321114/b321114.txt">Table of n, a(n) for n = 7..1000</a>
%p A321114 b:= proc(u, o, k) option remember; `if`(u+o=0, 1,
%p A321114       add(b(u-j, o+j-1, k), j=1..min(2, u))+
%p A321114       add(b(u+j-1, o-j, k), j=1..min(k, o)))
%p A321114     end:
%p A321114 a:= n-> (k-> b(0, n, k)-b(0, n, k-1))(7):
%p A321114 seq(a(n), n=7..30);
%Y A321114 Column k=7 of A291680.
%K A321114 nonn
%O A321114 7,1
%A A321114 _Alois P. Heinz_, Oct 27 2018