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%I #7 Feb 11 2014 19:05:30
%S 1,3,3,4,6,4,7,10,10,7,6,17,20,17,6,12,23,37,37,23,12,8,35,60,74,60,
%T 35,8,15,43,95,134,134,95,43,15,13,58,138,229,268,229,138,58,13,18,71,
%U 196,367,497,497,367,196,71,18
%N Triangle generated by Pascal's rule, except begin and end the n-th row with sigma(n).
%e Triangle begins:
%e 1;
%e 3, 3;
%e 4, 6, 4;
%e 7, 10, 10, 7;
%e 6, 17, 20, 17, 6;
%e 12, 23, 37, 37, 23, 12;
%e 8, 35, 60, 74, 60, 35, 8;
%o (PARI) t(n, k) = {if (k<1 || k>n, return (0)); if (k==1 || k==n, return (sigma(n))); return (t(n-1, k-1) + t(n-1, k));}
%o tabl(nn) = {for (n=1, nn, for (k=1, n, print1(t(n, k), ", ");); print(););} \\ _Michel Marcus_, May 19 2013
%K easy,nonn,tabl
%O 1,2
%A _Joseph L. Pe_, Sep 30 2002
%E More terms from _Michel Marcus_, May 19 2013