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A133853
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a(n) = (64^n - 1)/63.
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36
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0, 1, 65, 4161, 266305, 17043521, 1090785345, 69810262081, 4467856773185, 285942833483841, 18300341342965825, 1171221845949812801, 74958198140788019265, 4797324681010433232961, 307028779584667726909505, 19649841893418734522208321, 1257589881178799009421332545
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OFFSET
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0,3
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COMMENTS
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Partial sums of powers of 64 (A089357), a.k.a. q-numbers for q=64.
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LINKS
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FORMULA
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a(n) = Sum_{j=0..n-1} 2^(6*j). See the comment.
G.f.: x/((1 - 64*x)*(1 - x)).
E.g.f.: exp(x)*(exp(63*x) - 1)/63. (End)
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MATHEMATICA
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LinearRecurrence[{65, -64}, {0, 1}, 20] (* Harvey P. Dale, Aug 20 2017 *)
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PROG
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(Maxima) makelist((64^n-1)/63, n, 0, 20); /* Martin Ettl, Nov 12 2012 */
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CROSSREFS
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Cf. similar sequences of the form (k^n-1)/(k-1) listed in A269025.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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