A004172 - OEIS

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A004172

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

1, 0, -1, 1, 0, 1, 0, -2, 1, 0, -3, 0, 5, 0, -3, 1, 0, 17, 0, -28, 0, 14, 0, -4, 1, 0, -155, 0, 255, 0, -126, 0, 30, 0, -5, 1, 0, 2073, 0, -3410, 0, 1683, 0, -396, 0, 55, 0, -6, 1, 0, -38227, 0, 62881, 0, -31031, 0, 7293, 0, -1001, 0, 91, 0, -7, 1, 0, 929569, 0

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,8

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].

Eric Weisstein's World of Mathematics, Euler Polynomial.

MATHEMATICA

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

CROSSREFS

Cf. A060083.

Sequence in context: A131047 A366548 A143714 * A082754 A063173 A120111

Adjacent sequences: A004169 A004170 A004171 * A004173 A004174 A004175

KEYWORD

sign,tabl,nice

AUTHOR

N. J. A. Sloane

STATUS

approved