A004173 Triangle of coefficients of Euler polynomials E_2n(x) (exponents in decreasing order).

1, 1, -1, 0, 1, -2, 0, 1, 0, 1, -3, 0, 5, 0, -3, 0, 1, -4, 0, 14, 0, -28, 0, 17, 0, 1, -5, 0, 30, 0, -126, 0, 255, 0, -155, 0, 1, -6, 0, 55, 0, -396, 0, 1683, 0, -3410, 0, 2073, 0, 1, -7, 0, 91, 0, -1001, 0, 7293, 0, -31031, 0, 62881, 0, -38227, 0, 1, -8, 0, 140, 0

Offset

0,6

References

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.

Links

T. D. Noe, Rows n=0..50 of triangle, flattened

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].

H. Pan and Z. W. Sun, New identities involving Bernoulli and Euler polynomials, arXiv:math/0407363 [math.NT], 2004.

Eric Weisstein's World of Mathematics, Euler Polynomial.

Mathematica

Flatten[Table[Reverse @ CoefficientList[EulerE[2n, x], x] , {n, 0, 8}]] (* Jean-François Alcover, Jul 21 2011 *)

Crossrefs

Cf. A060082

Sequence in context: A381801 A374398 A384881 * A185370 A384765 A352747

Adjacent sequences: A004170 A004171 A004172 * A004174 A004175 A004176

Keyword

sign,tabf,nice

Author

N. J. A. Sloane, corrected Jan 09 2007

Status

approved