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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
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
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.)