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Search: id:A155788
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| A155788 |
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Renewal array for 1/(x+sqrt(1-4x)). |
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+0
1
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| 1, 1, 1, 3, 2, 1, 9, 7, 3, 1, 29, 24, 12, 4, 1, 97, 85, 46, 18, 5, 1, 333, 306, 177, 76, 25, 6, 1, 1165, 1115, 681, 315, 115, 33, 7, 1, 4135, 4100, 2622, 1288, 510, 164, 42, 8, 1, 14845, 15185, 10104, 5220, 2206, 774, 224, 52, 9, 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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First column is A081696. Row sums are A000984.
Contribution from Paul Barry (pbarry(AT)wit.ie), Jan 27 2009: (Start)
First column of A155788.
In general, the image of the sequence with g.f. 1/(1-ax-bx^2) under (1,xc(x)) has g.f.
1/(1-ax-(a+b)x/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-..... (continued fraction). (End)
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FORMULA
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Riordan array (1/(x+sqrt(1-4x)),x/(x+sqrt(1-4x));
G.f.: 1/(1-x-xy-2x^2/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-..... (continued fraction).
G.f: 1/(1-x-2x^2/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-.... (continued fraction). [From Paul Barry (pbarry(AT)wit.ie), Jan 27 2009]
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EXAMPLE
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Triangle begins
1,
1, 1,
3, 2, 1,
9, 7, 3, 1,
29, 24, 12, 4, 1,
97, 85, 46, 18, 5, 1,
333, 306, 177, 76, 25, 6, 1
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CROSSREFS
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Sequence in context: A152860 A002350 A109267 this_sequence A108073 A057731 A126074
Adjacent sequences: A155785 A155786 A155787 this_sequence A155789 A155790 A155791
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jan 27 2009
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