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A060242
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a(n) = (2^n - 1)*(4^n - 1).
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1
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0, 3, 45, 441, 3825, 31713, 257985, 2080641, 16711425, 133955073, 1072692225, 8585738241, 68702695425, 549688696833, 4397778059265, 35183298314241, 281470681677825, 2251782633684993, 18014329789743105, 144114913197424641, 1152920405094170625
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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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G.f.: 3*x*(1-8*x^2)/((1-x)*(1-2*x)*(1-4*x)*(1-8*x)). - Alois P. Heinz, Feb 19 2021
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MAPLE
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f:= gfun:-rectoproc({a(n) - 15*a(n-1) + 70*a(n-2) - 120*a(n-3) + 64*a(n-4) = 0, a(0) = 0, a(1)=3, a(2)=45, a(3)=441}, a(n), remember): map(f, [$0..20]); # Georg Fischer, Feb 19 2021
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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