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Search: id:A054338
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| 1, 32, 576, 7680, 84480, 811008, 7028736, 56229888, 421724160, 2998927360, 20392706048, 133479530496, 845370359808, 5202279137280, 31213674823680, 183120225632256, 1052941297385472, 5946021444059136, 33033452466995200
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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With a different offset, number of n-permutations (n>=7) of 5 objects: u, v, z, x, y with repetition allowed, containing exactly seven (7) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008
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FORMULA
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a(n) = binomial(n+7, 7)*4^n; G.f. 1/(1-4*x)^8 . a(n)= A054335(n+15, 15).
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MAPLE
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seq(seq(binomial(i, j)*4^(i-7), j =i-7), i=7..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 03 2007
seq(binomial(n+7, 7)*4^n, n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008
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PROGRAM
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(Other) SAGE: [lucas_number2(n, 4, 0)*binomial(n, 7)/2^14 for n in xrange(7, 26)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 11 2009]
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CROSSREFS
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Cf. A000302, A054335.
Cf. A038231.
Sequence in context: A093751 A082557 A022660 this_sequence A010557 A022756 A088914
Adjacent sequences: A054335 A054336 A054337 this_sequence A054339 A054340 A054341
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 13 2000
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