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A163254 Array of the nonsquares; the columns satisfy c(n)=c(n-1)+c(n-2)-c(n-3)+1. 5

%I #10 Feb 29 2016 09:35:49

%S 2,5,3,10,7,6,17,13,11,8,26,21,18,14,12,37,31,27,22,19,15,50,43,38,32,

%T 28,23,20,65,57,51,44,39,33,29,24,82,73,66,58,52,45,40,34,30,101,91,

%U 83,74,67,59,53,46,41,35,122,111,102,92,84,75,68,60,54

%N Array of the nonsquares; the columns satisfy c(n)=c(n-1)+c(n-2)-c(n-3)+1.

%C This is the array remaining after row 1 is expelled from the array in A163253.

%H Clark Kimberling, <a href="http://www.fq.math.ca/Papers1/48-1/Kimberling.pdf">Doubly interspersed sequences, double interspersions and fractal sequences</a>, The Fibonacci Quarterly 48 (2010) 13-20.

%F Let S(n,k) for the k-th term in the n-th row.

%F if n is odd, then S(n,k)=k^2+(n-1)k+(n^2+3)/4;

%F if n is even, then S(n,k)=k^2+(n-1)k+(n^2)/4.

%e Corner:

%e 2....5...10...17...26

%e 3....7...13...21...31

%e 6...11...18...27...38

%Y Cf. A000290, A163253, A163255, A163256, A163257, A163258.

%K nonn,tabl

%O 1,1

%A _Clark Kimberling_, Jul 23 2009

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