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A036226
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Expansion of 1/(1-7*x)^7.
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8
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1, 49, 1372, 28812, 504210, 7764834, 108707676, 1413199788, 17311697403, 201969803035, 2262061793992, 24471395771368, 256949655599364, 2628792630362724, 26287926303627240, 257621677775546952
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| With a different offset, number of n-permutations (n>=6) of 8 objects: r, s, t, u, v, z, x, y with repetition allowed, containing exactly six (6) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..400
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FORMULA
| a(n) = 7^n*binomial(n+6, 6). G.f.: 1/(1-7*x)^7.
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MAPLE
| seq(binomial(n+6, 6)*7^n, n=0..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
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PROG
| (Other) SAGE:[lucas_number2(n, 7, 0)*binomial(n, 6)/7^6 for n in xrange(6, 22)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]
(MAGMA) [7^n* Binomial(n+6, 6): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011
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CROSSREFS
| A036084.
Sequence in context: A011001 A115999 A012238 * A032655 A001458 A004374
Adjacent sequences: A036223 A036224 A036225 * A036227 A036228 A036229
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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