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A055133
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Matrix inverse of A008459 (squares of entries of Pascal's triangle).
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4
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1, -1, 1, 3, -4, 1, -19, 27, -9, 1, 211, -304, 108, -16, 1, -3651, 5275, -1900, 300, -25, 1, 90921, -131436, 47475, -7600, 675, -36, 1, -3081513, 4455129, -1610091, 258475, -23275, 1323, -49, 1, 136407699, -197216832, 71282064, -11449536, 1033900, -59584, 2352, -64, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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Alois P. Heinz, Rows n = 0..99, flattened
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FORMULA
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a(n, k) = (-1)^(n+k)*A000275(n-k)*C(n, k)^2.
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EXAMPLE
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1;
-1,1;
3,-4,1;
-19,27,-9,1;
211,-304,108,-16,1;
...
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MAPLE
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T:= proc(n) local M;
M:= Matrix(n+1, (i, j)-> binomial(i-1, j-1)^2)^(-1);
seq(M[n+1, i], i=1..n+1)
end:
seq(T(n), n=0..10); # Alois P. Heinz, Mar 14 2013
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CROSSREFS
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Sequence in context: A136228 A154829 A215241 * A113084 A055325 A162498
Adjacent sequences: A055130 A055131 A055132 * A055134 A055135 A055136
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KEYWORD
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sign,tabl
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AUTHOR
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Christian G. Bower, Apr 25 2000
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STATUS
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approved
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