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Search: id:A115718
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| A115718 |
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Inverse of number triangle A115717; a divide-and-conquer related triangle. |
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+0
1
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| 1, 0, 1, -3, 1, 1, 0, 0, 0, 1, -3, -3, 1, 1, 1, 0, 0, 0, 0, 0, 1, -3, -3, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -3, -3, -3, -3, -3, -3, -3, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Product of A115713 and (1/(1-x),x). Row sums are 1,1,-1,1,-3,1,-5,1,-7,1,... with g.f. (1+x-3x^2-x^3)/(1-x^2)^2. Row sums of inverse are A115716.
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EXAMPLE
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Triangle begins
1,
0, 1,
-3, 1, 1,
0, 0, 0, 1,
-3, -3, 1, 1, 1,
0, 0, 0, 0, 0, 1,
-3, -3, -3, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 1,
-3, -3, -3, -3, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
-3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
-3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
-3, -3, -3, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 1, 1
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CROSSREFS
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Sequence in context: A066746 A074063 A115717 this_sequence A125208 A122776 A062172
Adjacent sequences: A115715 A115716 A115717 this_sequence A115719 A115720 A115721
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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 29 2006
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