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Search: id:A138164
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| A138164 |
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Row sums of Riordan array (c(-x^2),xc(-x^2)^2)^(-1) where c(x) is the g.f. of A000108. |
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+0
1
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| 1, 1, 2, 4, 9, 20, 47, 109, 262, 622, 1516, 3653, 8988, 21883, 54213, 133004, 331233, 817432, 2044151, 5068346, 12716872, 31651555, 79636493, 198843284, 501466519, 1255489165, 3172569392, 7961388439, 20152910577, 50674576772
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OFFSET
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0,3
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COMMENT
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Hankel transform is A005161. A transform of the F(n+1) by (1,x(1-x^2))^(-1).
(c(-x^2),xc(-x^2)^2)^(-1) factors as (1,x(1-x^2))^(-1)*(1/(1-x^2),x/(1-x^2)).
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FORMULA
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G.f.: 1/(1-v-v^2) where v=(2/sqrt(3))*sin(sin(x*3*sqrt(3)/2)/3) is the series reversion of x(1-x^2);
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CROSSREFS
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Sequence in context: A036623 A001385 A039808 this_sequence A130802 A022543 A036618
Adjacent sequences: A138161 A138162 A138163 this_sequence A138165 A138166 A138167
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KEYWORD
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nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 03 2008
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