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Search: id:A027473
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| 1, 14, 147, 1372, 12005, 100842, 823543, 6588344, 51883209, 403536070, 3107227739, 23727920916, 179936733613, 1356446145698, 10173346092735, 75960984159088, 564959819683217, 4187349251769726, 30939858360298531
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OFFSET
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2,2
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COMMENT
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With a different offset, number of n-permutations of 8 objects:p, q, u, v, w, z, x, y with repetition allowed, containing exactly one u. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 194-196.
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LINKS
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F. Ellermann, Illustration of binomial transforms
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FORMULA
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Numerators of sequence a[ 2, n ] in (a[ i, j ])^3 where a[ i, j ] = Binomial(i-1, j-1)/2^(i-1) if j<=i, 0 if j>i
a(n) = n*7^(n-1); a(n) = 14a(n-1)-49a(n-2); a(0) = 1; n>0.
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MAPLE
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seq(seq(binomial(i, j)*7^(i-1), j =i-1), i=1..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 28 2007
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CROSSREFS
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Cf. A001787, A053464 and A053469.
Sequence in context: A099914 A016278 A132934 this_sequence A002451 A016170 A081201
Adjacent sequences: A027470 A027471 A027472 this_sequence A027474 A027475 A027476
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KEYWORD
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nonn,easy
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AUTHOR
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Olivier Gerard (ogerard(AT)ext.jussieu.fr)
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), May 29 2001
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