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%I #3 Mar 30 2012 18:57:10
%S 1,3,2,5,4,7,9,6,13,8,15,10,21,14,11,25,16,35,22,19,12,41,26,57,36,31,
%T 20,17,67,42,93,58,51,32,29,18,109,68,151,94,83,52,47,30,23,177,110,
%U 245,152,135,84,77,48,39,24,286,178,397,246,220,136,125,78,63,40,27
%N Secondary Wythoff Array read by antidiagonals.
%C (1) Delete the odd numbered rows and get twice the Wythoff array, A035513. (2) Subtract 1 from the even numbered rows and get the odd numbered rows. (3) As a sequence, this is a permutation of the positive integers. (4) The array is a dispersion and an interspersion. (5) Let c = ordered union of odd numbered columns and let d = ordered union of even numbered columns; then c and d are the unique solutions of the complementary equation d(n)=c(c(n))+2 and also of the complementary equation d(n)=c(n)+2*Floor[(n+2)/2]. (6) c=A137708, d=A137709.
%F Odd numbered rows: r(n)=r(n-1)+r(n-2)+1, Even numbered rows: r(n)=r(n-1)+r(n-2).
%e Northwest corner:
%e 1 3 5 9 15
%e 2 4 6 10 16
%e 7 13 21 35 57
%e 8 14 22 36 58
%Y Cf. A035513, A137708, A137709.
%K nonn,tabl
%O 1,2
%A _Clark Kimberling_, Feb 07 2008
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