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A053107
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Expansion of 1/(1-8*x)^8.
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7
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1, 64, 2304, 61440, 1351680, 25952256, 449839104, 7197425664, 107961384960, 1535450808320, 20882130993152, 273366078455808, 3462636993773568, 42617070692597760, 511404848311173120
(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>=7) of 9 objects: p, r, s, t, u, v, z, x, y with repetition allowed, containing exactly 7 u's. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 11 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..400
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FORMULA
| a(n) = 8^n*binomial(n+7, 7); G.f. 1/(1-8*x)^8.
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MATHEMATICA
| Table[Binomial[n + 7, 7]*8^n, {n, 0, 20}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 11 2010]
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PROG
| (Other) SAGE:[lucas_number2(n, 8, 0)*binomial(n, 7)/8^7 for n in xrange(7, 22)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]
(MAGMA) [8^n* Binomial(n+7, 7): n in [0..20]]; // Vincenzo Librandi, Oct 16 2011
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CROSSREFS
| A036226.
A081138, A140802, A175210, A140406, A053107, A141054,A173155 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 11 2010]
Sequence in context: A183432 A017211 A181241 * A000812 A004388 A203256
Adjacent sequences: A053104 A053105 A053106 * A053108 A053109 A053110
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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