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A083223
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a(n) = (5*6^n+(-6)^n)/6.
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3
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1, 4, 36, 144, 1296, 5184, 46656, 186624, 1679616, 6718464, 60466176, 241864704, 2176782336, 8707129344, 78364164096, 313456656384, 2821109907456, 11284439629824, 101559956668416, 406239826673664, 3656158440062976
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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) = (5*6^n+(-6)^n)/6.
G.f.: (1+4*x)/((1+6*x)*(1-6*x)).
E.g.f.: (5*exp(6*x)+exp(-6*x))/6.
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MATHEMATICA
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CoefficientList[Series[(1+4x)/((1+6x)(1-6x)), {x, 0, 50}], x] (* Harvey P. Dale, Mar 01 2011 *)
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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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