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 A342315 T(n, k) = [x^k] 2^n*(Euler(n, x) - Euler(n, x/2)), where Euler(n, x) are the Euler polynomials. Triangle read by rows, T(n, k) for 0 <= k <= n. 0
 0, 0, 1, 0, -2, 3, 0, 0, -9, 7, 0, 8, 0, -28, 15, 0, 0, 60, 0, -75, 31, 0, -96, 0, 280, 0, -186, 63, 0, 0, -1008, 0, 1050, 0, -441, 127, 0, 2176, 0, -6272, 0, 3472, 0, -1016, 255, 0, 0, 29376, 0, -30240, 0, 10584, 0, -2295, 511, 0, -79360, 0, 228480, 0, -124992, 0, 30480, 0, -5110, 1023 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..65. EXAMPLE Table starts: [0] 0 [1] 0, 1 [2] 0, -2, 3 [3] 0, 0, -9, 7 [4] 0, 8, 0, -28, 15 [5] 0, 0, 60, 0, -75, 31 [6] 0, -96, 0, 280, 0, -186, 63 [7] 0, 0, -1008, 0, 1050, 0, -441, 127 [8] 0, 2176, 0, -6272, 0, 3472, 0, -1016, 255 [9] 0, 0, 29376, 0, -30240, 0, 10584, 0, -2295, 511 MAPLE CoeffList := p -> op(PolynomialTools:-CoefficientList(p, x)): E := (n, x) -> 2^n*(euler(n, x) - euler(n, x/2)); 0, seq(CoeffList(E(n, x)), n = 0..10); CROSSREFS Cf. A060096/A060097, A163747 (row sums). Sequence in context: A354443 A011311 A240658 * A063890 A156439 A087734 Adjacent sequences: A342312 A342313 A342314 * A342316 A342317 A342318 KEYWORD sign,tabl AUTHOR Peter Luschny, Mar 19 2021 STATUS approved

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Last modified February 27 14:46 EST 2024. Contains 370376 sequences. (Running on oeis4.)