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Search: id:A059268
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| A059268 |
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Concatenate subsequences [2^0, 2^1, ..., 2^n] for n = 0, 1, 2, ... |
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+0
18
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| 1, 1, 2, 1, 2, 4, 1, 2, 4, 8, 1, 2, 4, 8, 16, 1, 2, 4, 8, 16, 32, 1, 2, 4, 8, 16, 32, 64, 1, 2, 4, 8, 16, 32, 64, 128, 1, 2, 4, 8, 16, 32, 64, 128, 256, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 1, 2, 4, 8, 16, 32, 64
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Triangular array T(n,k) read by rows, where T(n,k) = i!*j! times coefficient of x^n*y^k in exp(x+2y).
a(n) = A018900(n+1) - A140513(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2009]
T(n,k) = A173786(n-1,k-1) - A173787(n-1,k-1), 0<k<=n. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 28 2010]
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LINKS
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J. L. Arregui, Tangent and Bernoulli numbers related to Motzkin and Catalan numbers by means of numerical triangles.
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FORMULA
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E.g.f.: exp(x+2*y) (T coordinates).
T(n,k) = 2^k. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 29 2010]
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CROSSREFS
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A140531. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2009]
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KEYWORD
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nonn,tabl,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 23 2001
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EXTENSIONS
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Formular corrected by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 23 2010
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