login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060055 Denominators of nonzero numbers appearing in the Euler-Maclaurin summation formula. (See A060054 for the definition of these numbers.) 6
2, 12, 720, 30240, 1209600, 47900160, 1307674368000, 74724249600, 10670622842880000, 5109094217170944000, 802857662698291200000, 14101100039391805440000, 1693824136731743669452800000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 16 (3.6.28), p. 806 (23.1.30), p. 886 (25.4.7).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..200

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 16 (3.6.28), p. 806 (23.1.30), p. 886 (25.4.7).

FORMULA

Denominators of nonzero coefficients in the series expansion around zero of cot(x/2)/2, disregarding the first term. - Fredrik Johansson, Aug 20 2006

MATHEMATICA

Join[{2}, f[n_]:=Denominator[-(-1)^n BernoulliB[2 n]/(2 n)!]; Table[f[n], {n, 30}]] (* Robert G. Wilson v, Sep 02 2004 *) (* adapted by Vincenzo Librandi, May 04 2017 *)

Join[{2}, Denominator[Table[SeriesCoefficient[x^2/(1 - E^x), {x, 0, n}], {n, 3, 25, 2}]]] (* Terry D. Grant, Jun 01 2017 *)

PROG

(MAGMA) [2] cat [Denominator(-(-1)^n*Bernoulli(2*n)/Factorial(2*n)): n in [1..15]]; // Vincenzo Librandi, Jun 04 2017

CROSSREFS

Numerators give A060054.

Sequence in context: A173104 A141770 A230265 * A061149 A191555 A222207

Adjacent sequences:  A060052 A060053 A060054 * A060056 A060057 A060058

KEYWORD

nonn,frac,easy

AUTHOR

Wolfdieter Lang, Feb 16 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 23 12:35 EST 2019. Contains 320431 sequences. (Running on oeis4.)