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%I #4 Mar 03 2013 13:05:09
%S 1,1,1,1,2,1,1,3,1,1,1,4,1,3,1,1,5,1,6,1,1,1,6,1,10,1,4,1,1,7,1,15,1,
%T 10,1,1,1,8,1,21,1,20,1,5,1,1,9,1,28,1,35,1,15,1,1,1,10,1,36,1,56,1,
%U 35,1,6,1,1,11,1,45,1,84,1,70,1,21,1,1,1,12,1,55,1,120,1,126,1,56,1,7,1
%N Triangle read by rows, Pascal's triangle columns interleaved with 1's.
%C Row sums, A167270: (1, 2, 4, 6, 10, 15, 24, 37,...) tend to phi, 1.618...;
%C e.g. 2592/1604 = 1.61596...
%F Given Pascal's triangle columns >0, insert 1's as alternate columns.
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 1, 2, 1;
%e 1, 3, 1, 1;
%e 1, 4, 1, 3, 1;
%e 1, 5, 1, 6, 1, 1;
%e 1, 6, 1, 10, 1, 4, 1;
%e 1, 7, 1, 15, 1, 10, 1, 1;
%e 1, 8, 1, 21, 1, 20, 1, 5, 1;
%e 1, 9, 1, 28, 1, 35, 1, 15, 1, 1;
%e 1, 10, 1, 36, 1, 56, 1, 35, 1, 6, 1;
%e 1, 11, 1, 45, 1, 84, 1, 70, 1, 21, 1, 1;
%e 1, 12, 1, 55, 1, 120, 1, 126, 1, 56, 1, 7, 1;
%e 1, 13, 1, 66, 1, 165, 1, 210, 1, 126, 1, 28, 1, 1;
%e 1, 14, 1, 78, 1, 220, 1, 330, 1, 252, 1, 84, 1, 8, 1;
%e 1, 15, 1, 91, 1, 286, 1, 495, 1, 462, 1, 210, 1, 36, 1, 1;
%e 1, 16, 1, 105, 1, 364, 1, 715, 1, 792, 1, 461, 1, 120, 1, 9, 1;
%e ...
%Y A167270
%K nonn,tabl
%O 0,5
%A _Gary W. Adamson_ & _Mats Granvik_, Oct 31 2009
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