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Search: id:A054339
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A054339 9-fold convolution of A000302 (powers of 4). +0
2
1, 36, 720, 10560, 126720, 1317888, 12300288, 105431040, 843448320, 6372720640, 45883588608, 317013884928, 2113425899520, 13655982735360, 85837605765120, 526470648692736, 3158823892156416, 18581317012684800, 107358720517734400 (list; graph; listen)
OFFSET

0,2

COMMENT

With a different offset, number of n-permutations (n>=8) of 5 objects: u, v, z, x, y with repetition allowed, containing exactly eight (8) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008

FORMULA

a(n) = binomial(n+8, 8)*4^n; G.f. 1/(1-4*x)^9. a(n)= A054335(n+17, 17).

MAPLE

seq(seq(binomial(i, j)*4^(i-8), j =i-8), i=8..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 03 2007

seq(binomial(n+8, 8)*4^n, n=0..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 23 2008

CROSSREFS

Cf. A000302, A054335.

Cf. A038231.

Sequence in context: A000815 A053947 A004419 this_sequence A138832 A109405 A064541

Adjacent sequences: A054336 A054337 A054338 this_sequence A054340 A054341 A054342

KEYWORD

easy,nonn

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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