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A024028
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a(n) = 3^n - n^5.
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3
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1, 2, -23, -216, -943, -2882, -7047, -14620, -26207, -39366, -40951, 16096, 282609, 1223030, 4245145, 13589532, 41998145, 127720306, 385530921, 1159785368, 3483584401
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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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a(n) = 3^n - n^5.
a(n) = 9*a(n-1) - 33*a(n-2) + 65*a(n-3) - 75*a(n-4) + 51*a(n-5) - 19*a(n-6) + 3*a(n-7) for n > 6.
G.f.: (-4*x^6 - 71*x^5 - 187*x^4 + 8*x^3 + 8*x^2 + 7*x - 1)/((x - 1)^6*(3*x - 1)). (End)
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MATHEMATICA
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Table[3^n-n^5, {n, 0, 30}] (* or *) LinearRecurrence[{9, -33, 65, -75, 51, -19, 3}, {1, 2, -23, -216, -943, -2882, -7047}, 30] (* Harvey P. Dale, Dec 16 2021 *)
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PROG
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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