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A005341 Length of n-th term in Look and Say sequence A005150.
(Formerly M0321)
+0
6
1, 2, 2, 4, 6, 6, 8, 10, 14, 20, 26, 34, 46, 62, 78, 102, 134, 176, 226, 302, 408, 528, 678, 904, 1182, 1540, 2012, 2606, 3410, 4462, 5808, 7586, 9898, 12884, 16774, 21890, 28528, 37158, 48410, 63138, 82350, 107312, 139984, 182376, 237746, 310036, 403966, 526646, 686646 (list; graph; listen)
OFFSET

1,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. H. Conway, The weird and wonderful chemistry of audioactive decay, in T. M. Cover and Gopinath, eds., Open Problems in Communication and Communications, Springer, NY 1987, pp. 173-188.

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 452-455.

LINKS

S. R. Finch, Conway's Constant

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

FORMULA

Satisfies a recurrence of order 71.

MATHEMATICA

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[ Length[ F[ n ] ], {n, 1, 51} ]

CROSSREFS

Sequence in context: A098214 A109832 A039731 this_sequence A137268 A008130 A055388

Adjacent sequences: A005338 A005339 A005340 this_sequence A005342 A005343 A005344

KEYWORD

nonn,base,easy,nice

AUTHOR

Jeffrey Shallit

EXTENSIONS

More terms from Mike Keith (Domnei(AT)aol.com)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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