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%I M5051 N2184 #39 Jul 02 2019 14:14:02
%S 1,17,1835,195013,3887409,58621671097,327585142651,83717985168643,
%T 189605076148138997,595202561342135705333,26162958970171926774263,
%U 822117399240965474306397043,4746533358587697361080419575
%N From higher-order Bernoulli numbers: absolute value of numerator of D-number D2n(2n-1).
%D N. E. Nørlund, Vorlesungen über Differenzenrechnung. Springer-Verlag, Berlin, 1924, p. 463.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Gheorghe Coserea, <a href="/A001905/b001905.txt">Table of n, a(n) for n = 1..200</a>
%H Guodong Liu, <a href="http://dx.doi.org/10.1155/2009/605313">A Recurrence Formula for D Numbers D2n(2n-1)</a>, Discrete Dynamics in Nature and Society, Volume 2009 (2009). [From Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 26 2010]
%H N. E. Nørlund, <a href="http://gdz.sub.uni-goettingen.de/dms/load/img/?IDDOC=237538">Vorlesungen über Differenzenrechnung</a> Springer 1924, p. 463. [From Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 26 2010]
%H <a href="/index/Be#Bernoulli">Index entries for sequences related to Bernoulli numbers.</a>
%t NorlundD[nu_, n_] := (-2)^nu NorlundB[nu, n, n/2];
%t Table[NorlundD[2n, 2n-1] // Numerator // Abs, {n, 1, 13}] (* _Jean-François Alcover_, Jul 02 2019 *)
%o (PARI) x='x+O('x^33); abs(apply(numerator, select(i->i, Vec(-1 + serlaplace((x / log(x + sqrt(1+x^2)))^2 / sqrt(1+x^2)))))) \\ _Gheorghe Coserea_, Aug 10 2015
%Y Cf. A001904, A261272 (denominator), A261274.
%K nonn,frac
%O 1,2
%A _N. J. A. Sloane_
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jul 26 2010
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