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A168256
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Triangle read by rows: Catalan number C(n) repeated n+1 times.
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3
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1, 1, 1, 2, 2, 2, 5, 5, 5, 5, 14, 14, 14, 14, 14, 42, 42, 42, 42, 42, 42, 132, 132, 132, 132, 132, 132, 132, 429, 429, 429, 429, 429, 429, 429, 429, 1430, 1430, 1430, 1430, 1430, 1430, 1430, 1430, 1430, 4862, 4862, 4862, 4862, 4862, 4862, 4862, 4862, 4862, 4862
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OFFSET
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0,4
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COMMENTS
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As square array, it is A x B where A = square array A039599 (completed with zeros) and B = transpose of A. - Philippe Deléham, May 22 2015
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LINKS
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FORMULA
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Sum_{n>=0} 1/a(n) = 4 + 28*Pi/(27*sqrt(3)). - Amiram Eldar, Aug 18 2022
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EXAMPLE
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Triangle begins:
1;
1, 1;
2, 2, 2;
5, 5, 5, 5 ;
14, 14, 14, 14, 14;
42, 42, 42, 42, 42, 42;
A = square array A039599, completed with zeros.
1.....0.....0.....0...
1.....1.....0.....0...
2.....3.....1.....0...
5.....9.....5.....1...
......................
B = transpose of A.
1.....1.....2.....5...
0.....1.....3.....9...
0.....0.....1.....5...
0.....0.....0.....1...
......................
A x B = this sequence read as square array.
1.....1.....2.....5...
1.....2.....5....14...
2.....5....14....42...
5....14....42...132...
...................... (End)
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MATHEMATICA
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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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