A373753 a(n) = Sum_{k=0..n-2} A205497(n, k) * (k mod 2).
0, 0, 0, 1, 3, 8, 28, 136, 715, 3968, 24928, 176896, 1358611, 11184128, 99463620, 951878656, 9704336283, 104932671488, 1202007133768, 14544442556416, 185212683647587, 2475749026562048, 34672375957634412, 507711943253426176, 7757454418668014443, 123460740095103991808
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
enum := L -> ListTools:-Enumerate(L): seq(add(c[2]*(1-irem(c[1], 2)), c = enum([A205497row(n)])), n = 0..25);
Comments