A098596 Length of the n-th term in the Roman numeral Look and Say sequence A098595.
1, 2, 3, 4, 3, 6, 9, 8, 10, 15, 24, 23, 29, 36, 49, 54, 62, 75, 92, 105, 115, 138, 161, 180, 202, 231, 268, 297, 331, 376, 429, 472, 524, 593, 666, 731, 815, 912, 1017, 1120, 1244, 1383, 1536, 1689, 1873, 2074, 2291, 2526, 2790, 3083, 3398, 3749, 4131, 4552, 5023
Offset: 1
Examples
The 7th term in A098595 = 111115111 so a(7)=9.
Links
- Peter J. C. Moses, Table of n, a(n) for n = 1..1000
Programs
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Mathematica
p={4,8,10,10,10,10,6,2,-4,-8,-10,-10,-6,-9,-13,-14,-4,8,21,28,27,18,13,23,39,50,49,43,34,26,27,35,43,40,29,15,7,3,4,9,14,14,9,4,1}; q={-1,-2,-3,-2,1,4,5,3,-1,-4,-3,1,5,5,1,-4,-6,-3,2,5,4,0,-4,-5,-3,0,2,2,1}; gf=Fold[x #1+#2&,0,p]/Fold[x #1+#2&,0,q]; CoefficientList[Series[gf,{x,0,99}],x] (* Peter J. C. Moses, Jun 21 2013 *)
Formula
a(n) = length(A098595(n)).
Extensions
More terms from David Wasserman, Feb 26 2008