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 A373572 Triangle read by rows: Coefficients of the polynomials P(n, x) * EZ(n, x), where P denote the signed Pascal polynomials and EZ the Eulerian zig-zag polynomials A205497. 0
 1, -1, 1, 1, -2, 1, -1, 2, 0, -2, 1, 1, -1, -5, 10, -5, -1, 1, -1, -2, 18, -26, 0, 26, -18, 2, 1, 1, 8, -38, 18, 117, -212, 117, 18, -38, 8, 1, -1, -19, 52, 143, -677, 818, 0, -818, 677, -143, -52, 19, 1, 1, 38, -6, -817, 2196, -722, -5071, 8762, -5071, -722, 2196, -817, -6, 38, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..65. EXAMPLE Triangle starts: [0] [1] [1] [-1, 1] [2] [ 1, -2, 1] [3] [-1, 2, 0, -2, 1] [4] [ 1, -1, -5, 10, -5, -1, 1] [5] [-1, -2, 18, -26, 0, 26, -18, 2, 1] [6] [ 1, 8, -38, 18, 117, -212, 117, 18, -38, 8, 1] [7] [-1, -19, 52, 143, -677, 818, 0, -818, 677, -143, -52, 19, 1] MAPLE EZP((n, k) -> (-1)^(n-k)*binomial(n, k), 8); # Using function EZP from A373432. CROSSREFS Cf. A373432, A205497, A373657, A000007 (row sums). Sequence in context: A089062 A282634 A039980 * A306660 A357332 A347367 Adjacent sequences: A373569 A373570 A373571 * A373573 A373574 A373575 KEYWORD sign,tabf AUTHOR Peter Luschny, Jun 15 2024 STATUS approved

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Last modified September 13 18:22 EDT 2024. Contains 375910 sequences. (Running on oeis4.)