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a(n) = denominator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.
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%I #6 Feb 18 2024 10:32:46

%S 1,4,48,64,1280,1024,86016,16384,2949120,1310720,11534336,4194304,

%T 1526726656,2348810240,2415919104,1073741824,73014444032,17179869184,

%U 27419071217664,1924145348608,3809807790243840,241892558110720,404620279021568,351843720888320,823314306878668800

%N a(n) = denominator(N(1/2, n, 1)) where N(a, n, x) is the n-th Nørlund polynomial.

%H Niels Erik Nørlund, <a href="http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN373206070">Vorlesungen über Differenzenrechnung</a>, Springer 1924.

%t Table[Denominator@NorlundB[n, 1/2, 1], {n, 0, 24}]

%Y Cf. A370414, A370415, A370416.

%K nonn,frac

%O 0,2

%A _Peter Luschny_, Feb 18 2024