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Search: id:A115513
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| A115513 |
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Inverse of matrix (1,x)+(x,x^3). |
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+0 2
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| 1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
(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 A014578(n+5) or sum{k=0..ceiling(log(n+4)/log(3)),(-1)^k*(floor((n+4)/3^k)-floor((n+3)/3^k)}. Inverse of number triangle A115512.
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EXAMPLE
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Triangle begins
1,
-1, 1,
0, 0, 1,
0, 0, 0, 1,
1, -1, 0, 0, 1,
0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 1,
0, 0, -1, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
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CROSSREFS
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Sequence in context: A128190 A128189 A115512 this_sequence A133080 A010815 A080995
Adjacent sequences: A115510 A115511 A115512 this_sequence A115514 A115515 A115516
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 23 2006
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