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Search: id:A092056
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| A092056 |
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Square table by antidiagonals where T(n,k)=C(n+2^k-1,n). |
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+0
2
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| 1, 1, 1, 1, 2, 1, 1, 4, 3, 1, 1, 8, 10, 4, 1, 1, 16, 36, 20, 5, 1, 1, 32, 136, 120, 35, 6, 1, 1, 64, 528, 816, 330, 56, 7, 1, 1, 128, 2080, 5984, 3876, 792, 84, 8, 1, 1, 256, 8256, 45760, 52360, 15504, 1716, 120, 9, 1, 1, 512, 32896, 357760, 766480, 376992, 54264, 3432
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Each column is convolution of preceding column starting from the all 1's sequence.
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FORMULA
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T(n, k) =sum_i{0<=i<=n} T(i, k-1)*T(n-i, k-1) starting with T(n, 0)=1 for n>=0.
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EXAMPLE
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Rows start: 1,1,1,1,1,1,1,...; 1,2,4,8,16,32,64,...; 1,3,10,36,136,528,2080,...; 1,4,20,120,816,5984,45760,...;
1,5,35,330,3876,52360,766480,...; etc.
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CROSSREFS
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Columns include (essentially) A000012, A000027, A000292, A000580, A010968, etc. Rows include A000012, A000079, A007582, A092056.
Sequence in context: A009998 A113993 A103323 this_sequence A103574 A112682 A033185
Adjacent sequences: A092053 A092054 A092055 this_sequence A092057 A092058 A092059
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Feb 19 2004
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