A060097 - OEIS

%I #18 Dec 30 2024 12:37:49

%S 1,2,1,1,1,1,4,1,2,1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,8,1,2,1,4,1,

%T 2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,4,1,

%U 2,1,4,1,1,1,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,2,1,2,1,2,1

%N Denominator of coefficients of Euler polynomials (rising powers).

%D 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 Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 20, equations 20:4:1 - 20:4:8 at pages 177-178.

%H 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 The rational triangle A060096(n,m)/a(n,m) starts

%e   n\m  0    1    2    3    4    5    6    7  8  ...

%e   0:   1

%e   1: -1/2   1

%e   2:   0   -1    1

%e   3:  1/4   0  -3/2   1

%e   4:   0    1    0   -2    1

%e   5: -1/2   0   5/2   0  -5/2   1

%e   6:   0   -3    0    5    0   -3    1

%e   7: 17/8   0 -21/2   0  35/4   0  -7/2   1

%e   8:   0   17    0  -28    0   14    0   -4  1

%e   ...

%t Denominator[Flatten[Table[CoefficientList[EulerE[n, x], x], {n, 0, 13}]]] (* _Jean-François Alcover_, Apr 29 2011 *)

%Y For numerators see A060096.

%K nonn,easy,tabl,frac

%O 0,2

%A _Wolfdieter Lang_, Mar 29 2001