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A332194
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a(n) = 10^(2n+1) - 1 - 5*10^n.
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6
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4, 949, 99499, 9994999, 999949999, 99999499999, 9999994999999, 999999949999999, 99999999499999999, 9999999994999999999, 999999999949999999999, 99999999999499999999999, 9999999999994999999999999, 999999999999949999999999999, 99999999999999499999999999999, 9999999999999994999999999999999
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OFFSET
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0,1
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COMMENTS
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See A183185 = {14, 22, 36, 104, 1136, ...} for the indices of primes.
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LINKS
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FORMULA
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G.f.: (4 + 505*x - 1400*x^2)/((1 - x)*(1 - 10*x)*(1 - 100*x)).
a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.
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MAPLE
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A332194 := n -> 10^(n*2+1)-1-5*10^n;
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MATHEMATICA
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Array[ 10^(2 # + 1) -1 -5*10^# &, 15, 0]
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PROG
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(PARI) apply( {A332194(n)=10^(n*2+1)-1-5*10^n}, [0..15])
(Python) def A332194(n): return 10**(n*2+1)-1-5*10^n
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CROSSREFS
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Cf. A138148 (cyclops numbers with binary digits only), A002113 (palindromes).
Cf. A332114 .. A332184 (variants with different repeated digit 1, ..., 8).
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KEYWORD
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nonn,base,easy
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AUTHOR
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STATUS
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approved
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