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A048503
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G.f.: (1 - 4*x + 6*x^2 - 2*x^3)/((1-x)^3*(1-2*x)^2).
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1
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1, 3, 8, 22, 61, 165, 430, 1080, 2627, 6223, 14428, 32874, 73849, 163977, 360602, 786604, 1704127, 3670227, 7864552, 16777470, 35651861, 75497773, 159383878, 335544672, 704643451, 1476395415, 3087008180, 6442451410
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OFFSET
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0,2
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COMMENTS
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a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A048494.
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (7,-19,25,-16,4).
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FORMULA
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a(n) = (14 + 7*n + n^2 + (n-3)*2^(n+2))/2. - T. D. Noe, Dec 11 2006
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PROG
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(Magma) [(14+7*n+n^2+(n-3)*2^(n+2))/2 : n in [0..30]]; // Vincenzo Librandi, Sep 25 2011
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CROSSREFS
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Sequence in context: A318863 A318821 A014397 * A318862 A318820 A200752
Adjacent sequences: A048500 A048501 A048502 * A048504 A048505 A048506
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KEYWORD
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nonn,easy
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AUTHOR
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Clark Kimberling
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EXTENSIONS
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Better definition from Ralf Stephan, Feb 05 2004
Corrected by T. D. Noe, Dec 11 2006
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STATUS
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approved
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