A373754 a(n) = A205497(2*n, n - 1). The central coefficients of the Eulerian zig-zag polynomials.

1, 1, 3, 31, 623, 20641, 1019051, 70148989, 6421463423, 754405836811, 110644077164479, 19814920352425441, 4255291684449288503, 1079391696218976473971, 319292229636452654327115, 108942069149956119095870401, 42469095372194594340983910271, 18758916770545140042717283889713

Offset

0,3

Links

Table of n, a(n) for n=0..17.

T. Kyle Petersen and Yan Zhuang, Zig-zag Eulerian polynomials, arXiv:2403.07181 [math.CO], 2024.

Maple

1, 1, seq(A205497row(2*n)[n], n = 2..17);

Crossrefs

Cf. A205497, A373755.

Sequence in context: A319896 A370260 A222895 * A105293 A377746 A368489

Adjacent sequences: A373751 A373752 A373753 * A373755 A373756 A373757

Keyword

nonn

Author

Peter Luschny, Jun 16 2024

Status

approved