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A074883
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Triangle generated by Pascal's rule, except begin and end the n-th row with sigma(n).
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0
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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, 35, 8, 15, 43, 95, 134, 134, 95, 43, 15, 13, 58, 138, 229, 268, 229, 138, 58, 13, 18, 71, 196, 367, 497, 497, 367, 196, 71, 18
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OFFSET
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1,2
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LINKS
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EXAMPLE
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Triangle begins:
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, 35, 8;
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PROG
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(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)); }
tabl(nn) = {for (n=1, nn, for (k=1, n, print1(t(n, k), ", "); ); print(); ); } \\ Michel Marcus, May 19 2013
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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