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Search: id:A115361
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| A115361 |
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Inverse of matrix (1,x)-(x,x^2) (expressed in Riordan array notation). |
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+0
22
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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
(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 the 'ruler function' A001511. Columns are stretched Fredholm-Rueppel sequences. Inverse is A115359.
Eigensequence of triangle A115361 = A018819 starting with offset 1: (1, 2, 2, 4, 4, 6, 6, 10, 10, 14, 14, 20, 20,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 21 2009]
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FORMULA
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Number triangle whose k-th column has g.f. x^k*sum{j>=0, (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: A014024 A014039 A016410 this_sequence A115358 A117904 A115944
Cf. A018819 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 21 2009]
Adjacent sequences: A115358 A115359 A115360 this_sequence A115362 A115363 A115364
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KEYWORD
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easy,nonn,tabl,new
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 21 2006
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