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Search: id:A054337
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| 1, 28, 448, 5376, 53760, 473088, 3784704, 28114944, 196804608, 1312030720, 8396996608, 51908706304, 311452237824, 1820797698048, 10404558274560, 58265526337536, 320460394856448, 1734256254517248, 9249366690758656
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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>=6) of 5 objects: u, v, z, x, y with repetition allowed, containing exactly six (6) u's. Example: a(1)=28 because we have uuuuuuv, uuuuuvu, uuuuvuu, uuuvuuu, uuvuuuu, uvuuuuu, vuuuuuu, uuuuuuz, uuuuuzu, uuuuzuu, uuuzuuu, uuzuuuu, uzuuuuu, zuuuuuu, uuuuuux, uuuuuxu, uuuuxuu, uuuxuuu, uuxuuuu, uxuuuuu, xuuuuuu, uuuuuuy, uuuuuyu, uuuuyuu, uuuyuuu, uuyuuuu, uyuuuuu, yuuuuuu. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
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FORMULA
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a(n) = binomial(n+6, 6)*4^n; G.f. 1/(1-4*x)^7 . a(n)= A054335(n+13, 13).
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MAPLE
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seq(seq(binomial(i, j)*4^(i-6), j =i-6), i=6..24); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 03 2007
seq(binomial(n+6, 6)*4^n, n=0..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
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CROSSREFS
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Cf. A000302, A054335.
Cf. A038231.
Sequence in context: A121803 A022656 A125485 this_sequence A009685 A007833 A080315
Adjacent sequences: A054334 A054335 A054336 this_sequence A054338 A054339 A054340
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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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