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 A058940 Triangle of coefficients of Euler polynomials rescaled to integers by multiplication with 2^(binary carry sequence (A007814)). 4
 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; text; internal format)
 OFFSET 0,3 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) is second element of row(1+2^p), LCM of numerators of Euler polynomial coefficients is A007814. LINKS FORMULA T(n, k) = [x^k] E(n, x)*2^A007814(n+1). 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 MATHEMATICA Flatten[ Table[ CoefficientList[ EulerE[n, x]*2^IntegerExponent[n+1, 2], x], {n, 0, 12}]] (* Jean-François Alcover, Nov 18 2011, after Wouter Meeussen *) CROSSREFS Cf. A004174, A002425, A007814. Sequence in context: A321378 A307039 A243046 * A141684 A152492 A075446 Adjacent sequences:  A058937 A058938 A058939 * A058941 A058942 A058943 KEYWORD tabl,nice,sign AUTHOR Wouter Meeussen, Jan 12 2001 STATUS approved

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Last modified January 16 06:48 EST 2021. Contains 340204 sequences. (Running on oeis4.)