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A131763 Series reversion of x(1-4x)/(1-x) . 2
1, 3, 21, 183, 1785, 18651, 204141, 2310447, 26819121, 317530227, 3819724293, 46553474919, 573608632233, 7133530172619, 89423593269213, 1128765846337887, 14334721079385441, 183021615646831587 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The Hankel transform of this sequence is 12^C(n+1,2) .

Number of Dyck n-paths with two colors of up (U,u) and two colors of down (D,d) avoiding UD. - David Scambler, Jun 24 2013

REFERENCES

P. Barry, Embedding structures associated with Riordan arrays and moment matrices, arXiv preprint arXiv:1312.0583, 2013

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = Sum_{k, 0<=k<=n}A086810(n,k)*3^k .

a(n)=(3/4)*A103211(n) for n>0 .

CROSSREFS

Sequence in context: A192946 A216171 A054879 * A006199 A083063 A012163

Adjacent sequences:  A131760 A131761 A131762 * A131764 A131765 A131766

KEYWORD

nonn

AUTHOR

Philippe Deléham, Oct 29 2007, Nov 06 2007

EXTENSIONS

a(17) corrected by Mark van Hoeij, Jul 01 2010

STATUS

approved

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Last modified April 17 18:00 EDT 2014. Contains 240655 sequences.