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Search: id:A143099
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| 1, 3, 9, 22, 50, 113, 256, 576, 1281, 2818, 6146, 13313, 28672, 61440
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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A143100 = (1, 3, 4, 6, 13, 30, 64, 129,...).
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FORMULA
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Binomial transform of A143097: (1, 2, 4, 3, 5, 7, 6, 8, 10, 9, 11,...). a(n) = 2*a(n-1) + A143100(n-1).
G.f.: x*(5*x^4-7*x^3+5*x^2-3*x+1)/((1-x)*(x^2-x+1)*(1-2*x)^2) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 14 2009]
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EXAMPLE
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a(4) = 22 = (1, 3, 3, 1) dot (1, 2, 4, 3) = (1 + 6 + 12 + 3).
a(4) = 22 = 2*a(3) + A143099(3) = 2*9 + 4, where 4 = A143100(3).
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CROSSREFS
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Cf. A143097, A143098, A143100.
Sequence in context: A086817 A000715 A034505 this_sequence A000711 A121589 A000716
Adjacent sequences: A143096 A143097 A143098 this_sequence A143100 A143101 A143102
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KEYWORD
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nonn,easy,more
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 24 2008
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EXTENSIONS
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G.f. proposed by Maksym Voznyy checked and corrected by R. J. Mathar, Sep 16 2009.
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