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A047862
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a(n) = T(5,n), array T given by A047858.
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1
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1, 7, 20, 48, 108, 236, 508, 1084, 2300, 4860, 10236, 21500, 45052, 94204, 196604, 409596, 851964, 1769468, 3670012, 7602172, 15728636, 32505852, 67108860, 138412028, 285212668, 587202556, 1207959548, 2483027964
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OFFSET
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0,2
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COMMENTS
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More generally the main diagonal of the array defined by T(0,j)=j+1 j>=0, T(i,0)=i+1 i>=0, T(i,j)=T(i-1,j-1)+T(i-1,j)+ A, is given by T(n,n)=2^(n-1)*(n+2A+2)-A. - Benoit Cloitre, Jun 17 2003
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..3000
Index to sequences with linear recurrences with constant coefficients, signature (5,-8,4).
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FORMULA
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Main diagonal of the array defined by T(0, j)=j+1 j>=0, T(i, 0)=i+1 i>=0, T(i, j)=T(i-1, j-1)+T(i-1, j)+ 4; a(n)=2^(n-1)*(n+10)-4. - Benoit Cloitre, Jun 17 2003
a(0)=1, a(1)=7, a(2)=20, a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3). - Vincenzo Librandi, Sep 28 2011
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PROG
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(MAGMA) [2^(n-1)*(n+10)-4: n in [0..30]]; // Vincenzo Librandi, Sep 28 2011
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CROSSREFS
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n-th difference of a(n), a(n-1), ..., a(0) is (6, 7, 8, ...).
Sequence in context: A159222 A100206 A007044 * A048755 A055267 A218843
Adjacent sequences: A047859 A047860 A047861 * A047863 A047864 A047865
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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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STATUS
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approved
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