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Search: id:A101500
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| A101500 |
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A Chebyshev transform of the central binomial numbers. |
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+0
3
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| 1, 2, 5, 16, 53, 178, 609, 2112, 7393, 26066, 92437, 329360, 1178149, 4228322, 15218305, 54907136, 198527617, 719170850, 2609577701, 9483269008, 34508808789, 125727351186, 458573578977, 1674270763584, 6118472289889
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A Chebyshev transform of A000984. Under the Chebyshev transform, we map a g.f. g(x) to (1/(1+x^2))g(x/(1+x^2).
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FORMULA
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G.f.: 1/(sqrt(1+x^2)sqrt(1-4x+x^2)); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*binomial(2(n-2k), n-2k)}.
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CROSSREFS
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Sequence in context: A148394 A001428 A055726 this_sequence A047006 A127498 A149958
Adjacent sequences: A101497 A101498 A101499 this_sequence A101501 A101502 A101503
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Dec 04 2004
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