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Search: id:A115358
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| A115358 |
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Inverse of matrix (1,x)+(x,x^2) (expressed in Riordan array notation). |
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+0
3
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| 1, -1, 1, 0, 0, 1, 1, -1, 0, 1, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1, 0, 1
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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Row sums are A035263 (first Feigenbaum symbolic (or period-doubling) sequence). Columns are signed stretched Fredholm-Rueppel sequences. Inverse is A115356.
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FORMULA
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Number triangle whose k-th column has g.f. x^k*sum{j>=0, (-1)^j*(x^(2j-1))^(k+1)}.
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EXAMPLE
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Triangle begins
1;
-1, 1;
0, 0, 1;
1, -1, 0, 1;
0, 0, 0, 0, 1;
0, 0, -1, 0, 0, 1;
0, 0, 0, 0, 0, 0, 1;
-1, 1, 0, -1, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 0, 0, 0, -1, 0, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
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CROSSREFS
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Sequence in context: A014039 A016410 A115361 this_sequence A117904 A115944 A071003
Adjacent sequences: A115355 A115356 A115357 this_sequence A115359 A115360 A115361
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 21 2006
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