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Search: id:A095801
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| A095801 |
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Square of Narayana triangle A001263: View A001263 as a lower triangular matrix. Then the square of that matrix is also lower triangular. Sequence gives this lower triangle, read by rows. |
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+0
2
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| 1, 2, 1, 5, 6, 1, 14, 30, 12, 1, 42, 140, 100, 20, 1, 132, 630, 700, 250, 30, 1, 429, 2772, 4410, 2450, 525, 42, 1, 1430, 12012, 25872, 20580, 6860, 980, 56, 1, 4862, 51480, 144144, 155232, 74088, 16464, 1680, 72, 1, 16796, 218790, 772200, 1081080, 698544
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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The first three columns are A000108 (the Catalan numbers), A002457 and A085374. T(n, n-1) = n*(n-1).
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FORMULA
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T(n, k) = Sum_{i = k..n} A001263(n, i)*A001263(i, k).
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EXAMPLE
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1. The first 3 rows are 1; 2, 1; 5, 6, 1; since the first 3
rows of the Narayana triangle in matrix format a\
re M = [1 0 0 / 1 1 0 / 1 3 1]. Then M^2 = [1 0 0 / 2 1 0 / 5 6 1].
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CROSSREFS
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Cf. A001263, A000108, A002457, A085374.
Sequence in context: A107783 A047887 A120986 this_sequence A128567 A039810 A124575
Adjacent sequences: A095798 A095799 A095800 this_sequence A095802 A095803 A095804
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KEYWORD
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nonn,easy,nice,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 07 2004
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EXTENSIONS
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Edited and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Sep 24 2004
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