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A135618 Even Motzkin numbers divided by 2. 0
1, 2, 1094, 2899, 56817, 155286, 3268191, 9099642, 12834909238, 36503886401, 57494353262135, 165465534734914, 278352404864419302, 807141068080455861, 19766110689810556002, 57478249717507080819, 1418604378354657012789 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

E. Deutsch and B. E. Sagan, Congruences for Catalan and Motzkin numbers and related sequences, J. Num. Theory 117 (2006), 191-215.

LINKS

Table of n, a(n) for n=1..17.

FORMULA

a(n)=A134718(n)/2.

MATHEMATICA

#/2&/@Select[Rest[RecurrenceTable[{a[0]==a[1]==1, a[n]==(3(n-1)a[n-2]+ (2n+1)a[n-1])/(n+2)}, a, {n, 60}]], EvenQ] (* From Harvey P. Dale, Feb 27 2012 *)

CROSSREFS

Cf. A001006, A134718.

Sequence in context: A108963 A152510 A039951 * A119554 A036104 A036106

Adjacent sequences:  A135615 A135616 A135617 * A135619 A135620 A135621

KEYWORD

nonn

AUTHOR

Omar E. Pol, Feb 17 2008

STATUS

approved

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Last modified May 25 12:28 EDT 2013. Contains 225647 sequences.