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
Keywords
Links
- T. Kyle Petersen and Yan Zhuang, Zig-zag Eulerian polynomials, arXiv:2403.07181 [math.CO], 2024.
Programs
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Maple
1, 1, seq(A205497row(2*n)[n], n = 2..17);