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A141684
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Triangle read by rows formed from Euler polynomials: p(x,n)=If[Mod[n, 2] == 1, 2^(1 + ((n - 1)/2))*EulerE[n, x], EulerE[n, x]]; t(n,m)=Coefficients(p(x,n).
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0
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1, -1, 2, 0, -1, 1, 1, 0, -6, 4, 0, 1, 0, -2, 1, -4, 0, 20, 0, -20, 8, 0, -3, 0, 5, 0, -3, 1, 34, 0, -168, 0, 140, 0, -56, 16, 0, 17, 0, -28, 0, 14, 0, -4, 1, -496, 0, 2448, 0, -2016, 0, 672, 0, -144, 32, 0, -155, 0, 255, 0, -126, 0, 30, 0, -5, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Row sums are: {1, 1, 0, -1, 0, 4, 0, -34, 0, 496, 0, ...}.
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EXAMPLE
| {1},
{-1, 2},
{0, -1, 1},
{1, 0, -6, 4},
{0, 1, 0, -2, 1},
{-4, 0,20, 0, -20, 8},
{0, -3, 0, 5, 0, -3, 1},
{34, 0, -168, 0, 140, 0, -56, 16},
{0, 17, 0, -28, 0, 14, 0, -4,1},
{-496, 0, 2448, 0, -2016, 0, 672, 0, -144, 32},
{0, -155, 0, 255, 0, -126, 0, 30, 0, -5, 1}
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MATHEMATICA
| T[x_, n_] := If[Mod[n, 2] == 1, 2^(1 + ((n - 1)/2))*EulerE[n, x], EulerE[n, x]]; Table[Expand[T[x, n]], {n, 0, 10}]; Table[CoefficientList[T[x, n], x], {n, 0, 10}]; Flatten[%]
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CROSSREFS
| Cf. A060083, A004172, etc.
Sequence in context: A074169 A099362 A058940 * A152492 A075446 A184159
Adjacent sequences: A141681 A141682 A141683 * A141685 A141686 A141687
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KEYWORD
| tabl,sign,more
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 08 2008
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jan 06 2009
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