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A059341
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Triangle giving numerators of coefficients of Euler polynomials, highest powers first.
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1
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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, 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, -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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,8
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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.
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 48, [14b].
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LINKS
| 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].
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EXAMPLE
| 1; x-1/2; x^2-x; x^3-3*x^2/2+1/4; ...
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MAPLE
| 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:
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CROSSREFS
| Cf. A059342. See also A004172 A004173 A004174 A004175 A011934 A020523 A020524 A020525 A020526 A020547 A020548 A058940.
Sequence in context: A126309 A048838 A181872 * A131802 A069023 A091614
Adjacent sequences: A059338 A059339 A059340 * A059342 A059343 A059344
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KEYWORD
| sign,tabf,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jan 27 2001
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jan 29 2001
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