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A024039
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a(n) = 4^n - n^3.
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2
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1, 3, 8, 37, 192, 899, 3880, 16041, 65024, 261415, 1047576, 4192973, 16775488, 67106667, 268432712, 1073738449, 4294963200, 17179864271, 68719470904, 274877900085, 1099511619776, 4398046501843, 17592186033768, 70368744165497, 281474976696832
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (-1 - 5*x^4 - 11*x^3 - 6*x^2 + 5*x)/((4*x-1)*(x-1)^4). - Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009
a(n) = 8*a(n-1) - 22*a(n-2) + 28*a(n-3) - 17*a(n-4) + 4*a(n-5); a(0)=1, a(1)=3, a(2)=8, a(3)=37, a(4)=192. - Harvey P. Dale, Jul 26 2011
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MATHEMATICA
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Table[4^n-n^3, {n, 0, 30}] (* or *) LinearRecurrence[{8, -22, 28, -17, 4}, {1, 3, 8, 37, 192}, 31] (* Harvey P. Dale, Jul 26 2011 *)
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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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EXTENSIONS
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STATUS
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approved
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