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A074540
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a(n) = 2^n + 5^n + 9^n.
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1
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3, 16, 110, 862, 7202, 62206, 547130, 4861222, 43437602, 389374126, 3496551050, 31429889782, 282673681202, 2543086539646, 22882895986970, 205921649705542, 1853172776808002, 16677944639250766, 150098449994526890, 1350870791159844502, 12157760826489618002
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 1/(1-2*x) + 1/(1-5*x) + 1/(1-9*x).
E.g.f.: exp(2*x) + exp(5*x) + exp(9*x). (End)
a(n) = 16*a(n-1) - 73*a(n-2) + 90*a(n-3) for n > 2. - Wesley Ivan Hurt, Oct 06 2017
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MAPLE
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MATHEMATICA
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Table[2^n + 5^n + 9^n, {n, 0, 20}]
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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