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A054338
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8-fold convolution of A000302 (powers of 4).
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3
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..400
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FORMULA
| 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
| seq(binomial(n+7, 7)*4^n, n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008
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PROG
| (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]
(MAGMA) [4^n*Binomial(n+7, 7): n in [0..30]]; // Vincenzo Librandi, Oct 15 2011
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CROSSREFS
| Cf. A000302, A054335.
Cf. A038231.
Sequence in context: A178372 A082557 A022660 * A010557 A022756 A088914
Adjacent sequences: A054335 A054336 A054337 * A054339 A054340 A054341
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 13 2000
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