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1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 35, 5, 3, 1, 1, 63, 35, 5, 3, 1, 1, 231, 63, 35, 5, 3, 1, 1, 429, 231, 63, 35, 5, 3, 1, 1, 6435, 429, 231, 63, 35, 5, 3, 1, 1, 12155, 6435, 429, 231, 63, 35, 5, 3, 1, 1, 46189, 12155, 6435, 429, 231, 63, 35, 5, 3, 1, 1, 88179, 46189, 12155, 6435, 429
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,4
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COMMENTS
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Consider the fractional triangle A180955/A180956, call it triangle A. Consider also a triangle defined by k=1: T(n,1)=1, k>1 and n>=k: T(n,k)= any random number, else 0, call it triangle B. Calculate the matrix inverse of triangle B, call it triangle C. Multiply C with A, call the result triangle D. Calculate the matrix inverse of D, call it triangle E. Then the first column in both matrix A and matrix E will have the fraction A001790/A046161 in the first column.
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LINKS
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EXAMPLE
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Triangle starts:
1,
1,1,
3,1,1,
5,3,1,1,
35,5,3,1,1,
63,35,5,3,1,1,
231,63,35,5,3,1,1,
429,231,63,35,5,3,1,1,
6435,429,231,63,35,5,3,1,1,
12155,6435,429,231,63,35,5,3,1,1,
46189,12155,6435,429,231,63,35,5,3,1,1,
88179,46189,12155,6435,429,231,63,35,5,3,1,1,
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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