A172165 A simple sequence a(n) = n + n^(n-1).
2, 4, 12, 68, 630, 7782, 117656, 2097160, 43046730, 1000000010, 25937424612, 743008370700, 23298085122494, 793714773254158, 29192926025390640, 1152921504606846992, 48661191875666868498, 2185911559738696531986, 104127350297911241532860
Offset: 1
Examples
a(10) = 1000000010 = 10 + 10^9.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..150
Programs
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Magma
[n + n^(n-1): n in [1..20]]; // Vincenzo Librandi, Jun 17 2011
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Mathematica
Table[n + n^(n - 1), {n, 25}] (* Vladimir Joseph Stephan Orlovsky, Jun 16 2011 *)
Formula
a(n) = n + n^(n-1).
a(n) = n + A000169(n). - R. J. Mathar, Jan 30 2010
Extensions
Every second term removed by R. J. Mathar, Jan 30 2010