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A058940
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Triangle of coefficients of Euler polynomials rescaled to integers by multiplication with 2^(binary carry sequence = A007814).
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3
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1, -1, 2, 0, -1, 1, 1, 0, -6, 4, 0, 1, 0, -2, 1, -1, 0, 5, 0, -5, 2, 0, -3, 0, 5, 0, -3, 1, 17, 0, -84, 0, 70, 0, -28, 8, 0, 17, 0, -28, 0, 14, 0, -4, 1, -31, 0, 153, 0, -126, 0, 42, 0, -9, 2, 0, -155, 0, 255, 0, -126, 0, 30, 0, -5, 1, 691, 0, -3410, 0, 2805, 0, -924, 0, 165, 0, -22, 4, 0, 2073, 0, -3410, 0, 1683, 0, -396, 0, 55, 0, -6
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Sums of even rows are A002425, sums of odd rows are 0, first element of even rows is -row sum, first element of row[2^p]= second element of row[1+2^p], LCM of numerators of Euler-polynomial coefficients is A007814.
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FORMULA
| Table[CoefficientList[EulerE[n, x]2^A007814[n+1], x], {n, 0, 12}]
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MAPLE
| A058940_row := proc(n) local i; seq(coeff(euler(n, x)*2^padic[ordp](n+1, 2), x, i), i=0..n) end: [Peter Luschny, Nov 26 2010]
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MATHEMATICA
| Flatten[ Table[ CoefficientList[ EulerE[n, x]*2^IntegerExponent[n+1, 2], x], {n, 0, 12}]] (* From Jean-François Alcover, Nov 18 2011, after Wouter Meeussen *)
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CROSSREFS
| Cf. A007814, A002425.
Sequence in context: A034178 A074169 A099362 * A141684 A152492 A075446
Adjacent sequences: A058937 A058938 A058939 * A058941 A058942 A058943
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KEYWORD
| tabl,nice,sign
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AUTHOR
| Wouter Meeussen (wouter.meeussen(AT)pandora.be), Jan 12 2001
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