cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A059341 Triangle giving numerators of coefficients of Euler polynomials, highest powers first.

This page as a plain text file.
%I A059341 #16 Jul 02 2025 16:02:00
%S A059341 1,1,-1,1,-1,0,1,-3,0,1,1,-2,0,1,0,1,-5,0,5,0,-1,1,-3,0,5,0,-3,0,1,-7,
%T A059341 0,35,0,-21,0,17,1,-4,0,14,0,-28,0,17,0,1,-9,0,21,0,-63,0,153,0,-31,1,
%U A059341 -5,0,30,0,-126,0,255,0,-155,0,1,-11,0,165,0,-231,0,2805,0,-1705,0,691,1,-6,0,55,0,-396,0,1683,0,-3410,0,2073,0,1,-13
%N A059341 Triangle giving numerators of coefficients of Euler polynomials, highest powers first.
%D A059341 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 809.
%D A059341 L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 48, [14b].
%H A059341 G. C. Greubel, <a href="/A059341/b059341.txt">Table of n, a(n) for the first 50 rows, flattened</a>
%H A059341 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%e A059341 1; x-1/2; x^2-x; x^3-3*x^2/2+1/4; ...
%p A059341 for n from 0 to 30 do for k from n to 0 by -1 do printf(`%d,`,numer(coeff(euler(n,x), x, k))) od:od:
%t A059341 Numerator[Table[Reverse[CoefficientList[Series[EulerE[n, x], {x, 0, 20}], x]], {n, 0, 10}]]//Flatten (* _G. C. Greubel_, Jan 07 2017 *)
%Y A059341 Cf. A059342. See also A004172, A004173, A004174, A004175, A011934, A020523, A020524, A020525, A020526, A020547, A020548, A058940.
%K A059341 sign,tabf,frac,easy
%O A059341 0,8
%A A059341 _N. J. A. Sloane_, Jan 27 2001
%E A059341 More terms from _James Sellers_, Jan 29 2001