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Search: id:A094345
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| A094345 |
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Sum of all digits in ternary expansions of 0, ..., n. |
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+0
2
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| 0, 1, 3, 4, 6, 9, 11, 14, 18, 19, 21, 24, 26, 29, 33, 36, 40, 45, 47, 50, 54, 57, 61, 66, 70, 75, 81, 82, 84, 87, 89, 92, 96, 99, 103, 108, 110, 113, 117, 120, 124, 129, 133, 138, 144, 147, 151, 156, 160, 165, 171, 176, 182, 189, 191, 194, 198, 201, 205, 210, 214, 219
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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J.-P. Allouche & J. Shallit, Automatic sequences, Cambrige University Press, 2003, p. 94
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FORMULA
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Asymptotically : a(n)=n*log(n)/log(3)+n*F(log(n)/log(3)) where F is a continuous function of period 1 nowhere differentiable (see Allouche & Shallit book)
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PROGRAM
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(PARI) s(k, n)=n-(k-1)*sum(m=1, n, valuation(m, k)); a(n)=sum(i=0, n, s(3, i))
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CROSSREFS
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Cf. A000788.
Sequence in context: A034027 A034034 A105527 this_sequence A039889 A118098 A022297
Adjacent sequences: A094342 A094343 A094344 this_sequence A094346 A094347 A094348
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KEYWORD
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nonn,base
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 08 2004
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