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a(n) = A103136(2*n, n), the central terms of the inverse of the Delannoy triangle.
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%I #9 Nov 17 2023 09:56:01

%S 1,-3,22,-194,1838,-18082,182054,-1861890,19258078,-200898626,

%T 2109785654,-22275498434,236225927182,-2514344180194,26845804973638,

%U -287403142763522,3084015902579646,-33160937871888514,357206218412519510,-3853959574555396290,41640758821142160110

%N a(n) = A103136(2*n, n), the central terms of the inverse of the Delannoy triangle.

%C A combinatorial interpretation in terms of Schroeder paths is given in A103136.

%o (SageMath) # Using function A103136.

%o def A367393List(size):

%o M = A103136(2*size)

%o return [M[2*n][n] for n in range(size)]

%o print(A367393List(21))

%Y Cf. A103136.

%K sign

%O 0,2

%A _Peter Luschny_, Nov 16 2023