cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A347208 Number of permutations of [n] that are in the same position in A030298 as they are in A098281.

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%I A347208 #25 Sep 02 2021 13:44:24
%S A347208 1,2,3,3,3,10,5,4,5,13,3,6,5
%N A347208 Number of permutations of [n] that are in the same position in A030298 as they are in A098281.
%e A347208 For n = 7 the a(7) = 5 permutations are 1234567, 1234576, 1236745, 6574231, 7654321, which are in positions 1, 2, 17, 4198, 5040 respectively in both sequences A030298 and A098281.
%t A347208 perms[n_] := perms[n] = If[n == 1, {{1}}, Flatten[Table[Insert[#, n, pos], {pos, -1, -n, -1}]& /@ perms[n-1], 1]];
%t A347208 a[n_] := Count[Transpose@{perms[n], Permutations[Range[n]]}, {p_, p_}];
%t A347208 Table[a[n], {n, 1, 10}] (* _Jean-François Alcover_, Sep 02 2021 *)
%Y A347208 Cf. A030298, A098281.
%K A347208 nonn,more
%O A347208 1,2
%A A347208 _William Chang_, Aug 23 2021