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A054340
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10-fold convolution of A000302 (powers of 4).
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3
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1, 40, 880, 14080, 183040, 2050048, 20500480, 187432960, 1593180160, 12745441280, 96865353728, 704475299840, 4931327098880, 33381291130880, 219362770288640, 1403921729847296, 8774510811545600, 53679360258867200
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OFFSET
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0,2
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COMMENTS
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With a different offset, number of n-permutations (n>=9) of 5 objects: u, v, z, x, y with repetition allowed, containing exactly nine (9) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..400
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FORMULA
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a(n) = binomial(n+9, 9)*4^n; G.f. 1/(1-4*x)^10 . a(n)= A054335(n+19, 19).
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MAPLE
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seq(binomial(n+9, 9)*4^n, n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008
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PROG
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(Sage) [lucas_number2(n, 4, 0)*binomial(n, 9)/2^18 for n in xrange(9, 26)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 11 2009]
(MAGMA) [4^n*Binomial(n+9, 9): n in [0..30]]; // Vincenzo Librandi, Oct 15 2011
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CROSSREFS
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Cf. A000302, A054335.
Sequence in context: A010992 A004421 A190825 * A013350 A013346 A013348
Adjacent sequences: A054337 A054338 A054339 * A054341 A054342 A054343
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang, Mar 13 2000
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STATUS
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approved
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