2000]Primary 11B68, 11B75; Secondary 11M06 TANGENT AND BERNOULLI NUMBERS RELATED TO MOTZKIN AND CATALAN NUMBERS BY MEANS OF NUMERICAL TRIANGLES

نویسندگان

  • JOSÉ LUIS ARREGUI
  • J. L. ARREGUI
چکیده

It is shown that Bernoulli numbers and tangent numbers (the derivatives of the tangent funcion at 0) can be obtained by means of easily defined triangles of numbers in several ways, some of them very similar to the Catalan triangle and a Motzkin-like triangle. Our starting point in order to show this is a new expression of ζ(2n) involving Motzkin paths.

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تاریخ انتشار 2001