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A169797
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Expansion of ((1-x)/(1-2x))^10.
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9
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1, 10, 65, 340, 1550, 6412, 24650, 89440, 309605, 1030490, 3317445, 10377180, 31655820, 94451520, 276313200, 794169792, 2246410560, 6262748160, 17230138880, 46831339520, 125870737408, 334826700800, 882159984640, 2303540756480, 5965195018240, 15327324667904
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OFFSET
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0,2
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COMMENTS
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a(n) is the number of weak compositions of n with exactly 9 parts equal to 0. - Milan Janjic, Jun 27 2010
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (20,-180,960,-3360,8064,-13440,15360,-11520,5120,-1024)
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FORMULA
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a(n) = 2^(n-17)*(n+11) *(n^8 + 124*n^7 + 5986*n^6 + 143944*n^5 + 1836529*n^4 + 12358156*n^3 + 42005484*n^2 + 64730736*n + 33747840)/2835, n > 0. - R. J. Mathar, Mar 14 2011
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MATHEMATICA
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CoefficientList[Series[((1-x)/(1-2x))^10, {x, 0, 30}], x] (* or *) Join[ {1}, LinearRecurrence[{20, -180, 960, -3360, 8064, -13440, 15360, -11520, 5120, -1024}, {10, 65, 340, 1550, 6412, 24650, 89440, 309605, 1030490, 3317445}, 30]] (* Harvey P. Dale, Aug 21 2014 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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