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A127064
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a(0)=1. a(n) = a(p(n)(mod n)) + 1, where p(n) is the n-th prime.
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1
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1, 2, 3, 4, 5, 3, 3, 5, 5, 4, 5, 5, 3, 4, 3, 4, 4, 6, 6, 6, 6, 6, 5, 4, 7, 6, 5, 6, 5, 6, 5, 5, 5, 4, 5, 5, 6, 5, 6, 6, 5, 5, 5, 7, 7, 7, 5, 5, 6, 6, 7, 7, 6, 7, 6, 6, 7, 6, 7, 6, 6, 7, 8, 7, 7, 8, 8, 8, 9, 4, 5, 5, 6, 4, 5, 6, 5, 6, 6, 4, 5, 4, 6, 5, 5, 4, 5, 4, 7, 5, 5, 4, 7, 6, 7, 8, 5, 8, 6, 6, 6, 6, 6, 7, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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EXAMPLE
| The 7th prime, 17, is congruent to 3 (mod 7). So a(7) = a(3) + 1 = 4 + 1 = 5.
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MAPLE
| a[0]:=1: for n from 1 to 125 do a[n]:=1+a[ithprime(n) mod n] od: seq(a[n], n=0..125); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 25 2007
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MATHEMATICA
| f[l_List] := Block[{n = Length[l]}, Append[l, l[[Mod[Prime[n], n] + 1]] + 1]]; Nest[f, {1}, 105] (*Chandler*)
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CROSSREFS
| Cf. A004648, A127066.
Sequence in context: A053626 A134364 A104413 * A117607 A194551 A088492
Adjacent sequences: A127061 A127062 A127063 * A127065 A127066 A127067
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KEYWORD
| nonn
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AUTHOR
| Leroy Quet Mar 21 2007
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EXTENSIONS
| Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net) and Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 25 2007
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