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A050915
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a(n) = n*4^n + 1.
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4
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1, 5, 33, 193, 1025, 5121, 24577, 114689, 524289, 2359297, 10485761, 46137345, 201326593, 872415233, 3758096385, 16106127361, 68719476737, 292057776129, 1236950581249, 5222680231937, 21990232555521, 92358976733185
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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) = 9*a(n-1) - 24*a(n-2) + 16*a(n-3).
G.f.: -(12*x^2 - 4*x + 1)/((x-1)*(4*x-1)^2). (End)
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MATHEMATICA
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CoefficientList[Series[-(12 x^2 - 4 x + 1)/((x - 1) (4 x - 1)^2), {x, 0, 21}], x] (* Michael De Vlieger, Jan 04 2020 *)
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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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STATUS
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approved
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