A143852 (1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13, 2*7, 3*5,..) becomes (abs(1-2-3-2, 2-5-2-3, 7-2-3-3, 2-2-5-11, 2-2-3-13, 2-7-3-5,..)).
6, 8, 1, 16, 16, 13, 21, 20, 13, 34, 7, 17, 36, 37, 17, 27, 5, 13, 3, 29, 28, 6, 30, 8, 17, 66, 9, 1, 47, 52, 89, 8, 14, 77, 41, 81, 6, 31, 1, 1, 91, 8, 124, 13, 31, 13, 82, 17, 55, 69, 103, 10, 13, 100, 119, 18, 155, 6, 91, 40, 111, 11, 32, 55, 9, 10, 15, 37, 10, 115, 23, 124, 17
Offset: 1
Keywords
Examples
Abs (2-7-3-5)=abs (-13) =13=a(6). Abs (2-4-17-2)=abs(-21)=21=a(7). Abs (3-2-19-2)=abs (-20)=20=a(8). Abs (2-5-3-7)=abs (-13)=13=a(9). Abs (2-11-23-2)=abs(-34)=34=a(10), etc.
Links
- Robert Israel, Table of n, a(n) for n = 1..10000
Programs
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Maple
g:= proc(n) local F; F:= sort(ifactors(n)[2], (a,b) -> a[1]Robert Israel, Apr 25 2016
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Mathematica
Abs@ Total@ MapAt[Abs, Minus@ #, {1}] & /@ Partition[#, 4] &@ Flatten[FactorInteger /@ Range@ 134 /. {a_, b_} /; b == 1 :> {a}] (* Michael De Vlieger, Apr 25 2016 *)
Extensions
Corrected (10 replaced by 8) and extended by R. J. Mathar, Apr 18 2010