|
| |
|
|
A134718
|
|
Even Motzkin numbers.
|
|
1
| |
|
|
2, 4, 2188, 5798, 113634, 310572, 6536382, 18199284, 25669818476, 73007772802, 114988706524270, 330931069469828, 556704809728838604, 1614282136160911722, 39532221379621112004, 114956499435014161638, 2837208756709314025578
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| The values of n such that the Motzkin number M(n) (=A001006(n)) is even are given in A081706. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 07 2007
|
|
|
REFERENCES
| E. Deutsch and B. E. Sagan, Congruences for Catalan and Motzkin numbers and related sequences, J. Num. Theory 117 (2006), 191-215.
|
|
|
MAPLE
| M:=proc(n) options operator, arrow: sum(binomial(n, 2*k)*binomial(2*k, k)/(k+1), k=0..n) end proc: a:=proc(n) if `mod`(M(n), 2)=0 then M(n) else end if end proc: seq(a(n), n=0..50); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 07 2007
|
|
|
CROSSREFS
| Cf. A001006.
Cf. A081706.
Sequence in context: A045647 A102064 A085638 * A048829 A070655 A006263
Adjacent sequences: A134715 A134716 A134717 * A134719 A134720 A134721
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 11 2007
|
|
|
EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 07 2007
|
| |
|
|
