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A110758
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a(n) is the number of divisors of N, where N = concatenation of n taken n times.
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5
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1, 4, 6, 12, 8, 96, 8, 64, 20, 256, 96, 2304, 64, 512, 12288, 5120, 64, 5120, 8, 6144, 24576, 3072, 64, 24576, 1536, 1024, 7168, 12288, 256, 3145728, 32, 98304, 36864, 2048, 8192, 491520, 128, 128, 49152, 131072, 128, 6291456, 256, 73728, 5242880
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OFFSET
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1,2
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LINKS
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FORMULA
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EXAMPLE
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a(3) = tau(333) = 6.
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MATHEMATICA
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f[n_] := Sum[n*10^(i * Length[IntegerDigits[n]]), {i, 0, n - 1}]; Do[Print[DivisorSigma[0, f[n]]], {n, 100}] (* Ryan Propper, Jul 21 2006 *)
Table[DivisorSigma[0, FromDigits[Flatten[IntegerDigits/@PadRight[{}, n, n]]]], {n, 50}] (* Harvey P. Dale, Apr 10 2023 *)
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PROG
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(PARI) a(n) = numdiv(eval(concat(apply(x->Str(x), vector(n, k, n))))); \\ Michel Marcus, Feb 12 2023
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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