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A036546
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a(n) = T(5,n), array T given by A048471.
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2
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1, 33, 129, 417, 1281, 3873, 11649, 34977, 104961, 314913, 944769, 2834337, 8503041, 25509153, 76527489, 229582497, 688747521, 2066242593, 6198727809, 18596183457, 55788550401, 167365651233, 502096953729, 1506290861217
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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*a(n-1) + 30.
a(n) = 4*a(n-1) - 3*a(n-2).
G.f.: (1+29*x)/((1-x)*(1-3*x)). (End)
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MATHEMATICA
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LinearRecurrence[{4, -3}, {1, 33}, 30] (* Harvey P. Dale, Mar 16 2012 *)
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PROG
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CROSSREFS
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n-th difference of a(n), a(n-1), ..., a(0) is 2^(n+4) for n=1, 2, 3, ...
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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