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A155867
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A 'Morgan Voyce' transform of the large Schroeder numbers A006318.
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0
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1, 3, 13, 65, 355, 2061, 12501, 78323, 503033, 3294373, 21916883, 147708777, 1006330457, 6919474163, 47956087733, 334658965641, 2349535729811, 16583609673797, 117608812053277, 837626242775875, 5988634758319665
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Image of A006318 under the Riordan array (1/(1-x),x/(1-x)^2).
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FORMULA
| G.f.: (sqrt(1-10x+19x^2-10x^3+x^4)-x^2+3x-1)/(2x(x-1));
G.f.: 1/(1-x-2x/(1-x-x/(1-x-2x/(1-x-x/(1-x-2x/(1-x-x/(1-..... (continued fraction);
a(n)=sum{k=0..n, C(n+k,2k)*A006318(k)}.
a(n)=sum{k=0..n, A085478(n,k)*A006318(k)}. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 31 2009]
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CROSSREFS
| Sequence in context: A106227 A186577 A141342 * A009102 A080227 A199143
Adjacent sequences: A155864 A155865 A155866 * A155868 A155869 A155870
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jan 29 2009
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