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A321621
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The Riordan square of the Motzkin numbers, triangle read by rows, T(n, k) for 0 <= k <= n.
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1
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1, 1, 1, 2, 3, 1, 4, 8, 5, 1, 9, 21, 18, 7, 1, 21, 55, 58, 32, 9, 1, 51, 145, 177, 123, 50, 11, 1, 127, 385, 525, 431, 224, 72, 13, 1, 323, 1030, 1532, 1429, 889, 369, 98, 15, 1, 835, 2775, 4428, 4572, 3269, 1639, 566, 128, 17, 1
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OFFSET
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0,4
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LINKS
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EXAMPLE
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[0][ 1]
[1][ 1, 1]
[2][ 2, 3, 1]
[3][ 4, 8, 5, 1]
[4][ 9, 21, 18, 7, 1]
[5][ 21, 55, 58, 32, 9, 1]
[6][ 51, 145, 177, 123, 50, 11, 1]
[7][ 127, 385, 525, 431, 224, 72, 13, 1]
[8][ 323, 1030, 1532, 1429, 889, 369, 98, 15, 1]
[9][ 835, 2775, 4428, 4572, 3269, 1639, 566, 128, 17, 1]
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MAPLE
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# The function RiordanSquare is defined in A321620.
Motzkin := (1 - x - sqrt(1 - 2*x - 3*x^2))/(2*x^2); RiordanSquare(Motzkin, 10);
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MATHEMATICA
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(* The function RiordanSquare is defined in A321620. *)
Motzkin = (1 - x - Sqrt[1 - 2 x - 3 x^2])/(2 x^2);
M = RiordanSquare[Motzkin, 10];
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PROG
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(Sage) # uses[riordan_square from A321620]
riordan_square((1 - x - sqrt(1 - 2*x - 3*x^2))/(2*x^2), 10)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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