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Search: id:A144816
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| A144816 |
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Denominators of triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the coefficient of x^(2*k+1) in polynomial t_n(x), used to define continuous and n times differentiable sigmoidal transfer functions. |
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+0
2
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| 1, 2, 2, 8, 4, 8, 16, 16, 16, 16, 128, 32, 64, 32, 128, 256, 256, 128, 128, 256, 256, 1024, 512, 1024, 256, 1024, 512, 1024, 2048, 2048, 2048, 2048, 2048, 2048, 2048, 2048, 32768, 4096, 8192, 4096, 16384, 4096, 8192, 4096, 32768, 65536, 65536, 16384
(list; table; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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Triangle begins:
1
2, 2
8, 4, 8
16, 16, 16, 16
128, 32, 64, 32, 128
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MAPLE
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seq (seq (denom (T(n, k)), k=0..n), n=0..10);
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CROSSREFS
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See A144815 for more information on T(n, k). Diagonal and Column k=0 gives: A046161. Column k=1 gives: A101926(n-1) = 2^A101925(n-1) = 2^(A005187(n-1)+1).
Sequence in context: A093731 A049331 A120399 this_sequence A134812 A144847 A143625
Adjacent sequences: A144813 A144814 A144815 this_sequence A144817 A144818 A144819
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KEYWORD
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frac,nonn,tabl
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AUTHOR
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Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 21 2008
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