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Denominator of generalized Bernoulli number B_n^{(n-1)}.
1

%I #11 Jan 25 2020 03:49:27

%S 6,2,10,1,84,4,90,5,44,4,5460,70,360,24,102,1,1596,28,1980,66,2760,40,

%T 81900,273,1512,56,1160,20,114576,1232,117810,1785,420,4,109668,494,

%U 936,24,27060

%N Denominator of generalized Bernoulli number B_n^{(n-1)}.

%H N. E. Nørlund, <a href="http://www-gdz.sub.uni-goettingen.de/cgi-bin/digbib.cgi?PPN373206070">Vorlesungen ueber Differenzenrechnung</a> Springer 1924, p. 461.

%H N. E. Nörlund, <a href="/A001896/a001896_1.pdf">Vorlesungen über Differenzenrechnung</a>, Springer-Verlag, Berlin, 1924; page 461 [Annotated scanned copy of pages 144-151 and 456-463]

%t a[n_] := Integrate[(n-t-1)*Pochhammer[t-n+2, n-1], {t, 0, 1}]*(n-1) // Denominator;

%t a /@ Range[2, 40] (* _Jean-François Alcover_, Jan 24 2020, from the formula used in the bisections *)

%Y Cf. A260328.

%K nonn,frac

%O 2,1

%A _N. J. A. Sloane_, Jul 25 2015

%E More terms from _Jean-François Alcover_, Jan 25 2020