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A369328
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Antidiagonal sums of A369326.
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1
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1, 2, 4, 9, 23, 63, 176, 491, 1362, 3762, 10369, 28559, 78653, 216638, 596761, 1643966, 4528932, 12476737, 34372059, 94691059, 260862508, 718644363, 1979777046, 5454042866, 15025219777, 41392641187, 114031662049, 314143279634, 865426307713, 2384143611738, 6568023995156
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OFFSET
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0,2
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LINKS
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Jean-Luc Baril, Pamela E. Harris, and José L. Ramírez, Flattened Catalan Words, arXiv:2405.05357 [math.CO], 2024. See p. 22.
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FORMULA
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G.f.: (1 - 4*x + 5*x^2 - 3*x^3)/(1 - 5*x + 8*x^2 - 5*x^3).
a(n) = 5*a(n-1) - 8*a(n-2) + 5*a(n-3) for n > 3.
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MATHEMATICA
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LinearRecurrence[{5, -8, 5}, {1, 1, 2, 4}, 31]
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CROSSREFS
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KEYWORD
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nonn,easy,changed
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AUTHOR
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STATUS
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approved
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