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Search: id:A011847
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| A011847 |
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Triangle of numbers read bt rows: T(n,k) = floor( C(n,k)/(k+1) ), k=0..n-1. |
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13
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| 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 1, 3, 5, 5, 3, 1, 1, 3, 7, 8, 7, 3, 1, 1, 4, 9, 14, 14, 9, 4, 1, 1, 4, 12, 21, 25, 21, 12, 4, 1, 1, 5, 15, 30, 42, 42, 30, 15, 5, 1, 1, 5, 18, 41, 66, 77, 66, 41, 18, 5, 1, 1, 6, 22, 55, 99, 132, 132, 99, 55, 22, 6, 1, 1, 6, 26, 71
(list; table; graph; listen)
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OFFSET
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1,8
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FORMULA
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The rows are palindromic: T(n, k) = T(n, n-k-1).
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EXAMPLE
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Triangle begins:
[1]
[1, 1]
[1, 1, 1]
[1, 2, 2, 1]
[1, 2, 3, 2, 1]
[1, 3, 5, 5, 3, 1]
[1, 3, 7, 8, 7, 3, 1]
[1, 4, 9, 14, 14, 9, 4, 1]
[1, 4, 12, 21, 25, 21, 12, 4, 1]
[1, 5, 15, 30, 42, 42, 30, 15, 5, 1]
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CROSSREFS
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Columns include A008619, A001840, A011842, A011795, A011843, A011797, A011844, A011845, A011846, A032169. Row sums are in A095718.
Sequence in context: A103343 A085263 A115092 this_sequence A091325 A143974 A035463
Adjacent sequences: A011844 A011845 A011846 this_sequence A011848 A011849 A011850
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KEYWORD
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nonn,tabl
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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