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Search: id:A004977
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| A004977 |
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Sum of digits of n-th term in Look and Say sequence A005150. |
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+0
3
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| 1, 2, 3, 5, 8, 10, 13, 16, 23, 32, 44, 56, 76, 102, 132, 174, 227, 296, 383, 505, 679, 892, 1151, 1516, 1988, 2602, 3400, 4410, 5759, 7519, 9809, 12810, 16710, 21758, 28356, 36955, 48189, 62805, 81803, 106647, 139088, 181301, 236453, 308150, 401689
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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It appears that the ratio of consecutive terms approaches Conway's constant 1.303.. (A014715). The terms divided by the numbers of added digits also would tend to a constant, i.e. A004977(n)/A005341(n)->const. If the digits in A005150 occur with constant probabilities c1, c2, c3 then A004977(n)=A005341(n)*(c1+2*c2+3*c3) and this conjecture entails the convergences noted here. - Alexandre Losev (alosev(AT)svr.igic.bas.bg), Aug 31 2005
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LINKS
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Albert Frank, International Contest Of Logical Sequences, 2002 - 2003. Item 9
Albert Frank, Solutions of International Contest Of Logical Sequences, 2002 - 2003.
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MATHEMATICA
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RunLengthEncode[ x_List ] := (Through[ {First, Length}[ #1 ] ] &) /@ Split[ x ]; LookAndSay[ n_, d_:1 ] := NestList[ Flatten[ Reverse /@ RunLengthEncode[ # ] ] &, {d}, n - 1 ]; F[ n_ ] := LookAndSay[ n, 1 ][ [ n ] ]; Table[ Apply[ Plus, F[ n ] ], {n, 1, 51} ]
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CROSSREFS
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Cf. A005150.
Cf. A005150, A005341, A014715.
Adjacent sequences: A004974 A004975 A004976 this_sequence A004978 A004979 A004980
Sequence in context: A098177 A112045 A098389 this_sequence A094568 A022955 A087279
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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