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A054340 10-fold convolution of A000302 (powers of 4). +0
2
1, 40, 880, 14080, 183040, 2050048, 20500480, 187432960, 1593180160, 12745441280, 96865353728, 704475299840, 4931327098880, 33381291130880, 219362770288640, 1403921729847296, 8774510811545600, 53679360258867200 (list; graph; listen)
OFFSET

0,2

COMMENT

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

FORMULA

a(n) = binomial(n+9, 9)*4^n; G.f. 1/(1-4*x)^10 . a(n)= A054335(n+19, 19).

MAPLE

seq(binomial(n+9, 9)*4^n, n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008

CROSSREFS

Cf. A000302, A054335.

Sequence in context: A035609 A010992 A004421 this_sequence A013350 A013346 A013348

Adjacent sequences: A054337 A054338 A054339 this_sequence A054341 A054342 A054343

KEYWORD

easy,nonn,new

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 13 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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