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A141684
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Triangle read by rows formed from Euler polynomials: p(x,n) = if(n mod 2 = 1, 2^(1 + ((n - 1)/2))*EulerE(n, x), EulerE(n, x)); t(n,m) = Coefficients(p(x,n)).
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1
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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
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OFFSET
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1,3
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COMMENTS
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Row sums are {1, 1, 0, -1, 0, 4, 0, -34, 0, 496, 0, ...}.
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LINKS
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EXAMPLE
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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}
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MATHEMATICA
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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
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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