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A060189
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A column and diagonal of A060187 (k=3).
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2
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1, 23, 230, 1682, 10543, 60657, 331612, 1756340, 9116141, 46702427, 237231970, 1198382694, 6031771195, 30287995733, 151856096504, 760614930344, 3807336276505, 19050241098975, 95294209168414, 476607030432890
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OFFSET
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3,2
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LINKS
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P. A. MacMahon, The divisors of numbers, Proc. London Math. Soc., (2) 19 (1920), 305-340; Coll. Papers II, pp. 267-302.
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FORMULA
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a(n) = 5^(n-1) - n*3^(n-1) + n(n-1)/2. - Ralf Stephan, May 08 2004
G.f.: -x^3*(9*x^3+17*x^2-9*x-1) / ((x-1)^3*(3*x-1)^2*(5*x-1)). - Colin Barker, Dec 19 2012
a(n) = A060187(n, 3) , n >= 3 (and 0 for n = 0,1,2).
a(n) = A060187(n, n-2), n >= 3 (and 0 for n = 0,1,2).
E.g.f.: (2*exp(5*x) - 10*x*exp(3*x) + 5*x^2*exp(x) - 2)/10. (End)
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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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EXTENSIONS
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STATUS
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approved
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