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Search: id:A159830
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| A159830 |
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Exponential Riordan array [exp(exp(x)-1-2x),x] |
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+0
1
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| 1, -1, 1, 2, -2, 1, -3, 6, -3, 1, 7, -12, 12, -4, 1, -10, 35, -30, 20, -5, 1, 31, -60, 105, -60, 30, -6, 1, -21, 217, -210, 245, -105, 42, -7, 1, 204, -168, 868, -560, 490, -168, 56, -8, 1, 307, 1836, -756, 2604, -1260, 882, -252, 72, -9, 1, 2811, 3070, 9180, -2520
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First column is A126617. Row sums are A000296. A007318*A159830 is A124323.
The inverse is [exp(-exp(x)+1+2x),x] which has production matrix given by
1, 1,
-1, 1, 1,
-1, -2, 1, 1,
-1, -3, -3, 1, 1,
-1, -4, -6, -4, 1, 1 ...
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FORMULA
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G.f.: 1/(1-xy+x-x^2/(1-xy-2x^2/(1-xy-x-3x^2/(1-xy-2x-4x^2/(1-... (continued fraction).
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EXAMPLE
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Triangle begins
1,
-1, 1,
2, -2, 1,
-3, 6, -3, 1,
7, -12, 12, -4, 1,
-10, 35, -30, 20, -5, 1,
31, -60, 105, -60, 30, -6, 1,
-21, 217, -210, 245, -105, 42, -7, 1,
204, -168, 868, -560, 490, -168, 56, -8, 1
Production array is
-1, 1,
1, -1, 1,
1, 2, -1, 1,
1, 3, 3, -1, 1,
1, 4, 6, 4, -1, 1,
1, 5, 10, 10, 5, -1, 1,
1, 6, 15, 20, 15, 6, -1, 1,
1, 7, 21, 35, 35, 21, 7, -1, 1,
1, 8, 28, 56, 70, 56, 28, 8, -1, 1
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CROSSREFS
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Sequence in context: A094436 A094441 A107230 this_sequence A046726 A082137 A091187
Adjacent sequences: A159827 A159828 A159829 this_sequence A159831 A159832 A159833
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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), Apr 23 2009
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