|
Search: id:A003161
|
|
|
| A003161 |
|
A binomial coefficient sum.
(Formerly M1931)
|
|
+0
4
|
|
| 1, 1, 2, 9, 36, 190, 980, 5705, 33040, 204876, 1268568, 8209278, 53105976, 354331692, 2364239592, 16140234825, 110206067400, 765868074400, 5323547715200, 37525317999884, 264576141331216, 1886768082651816
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
The number of triples of standard tableaux of the same shape of height less than or equal to 2. - Mike Zabrocki (zabrocki(AT)mathstat.yorku.ca), Mar 29 2007
|
|
REFERENCES
|
Problem E2384, Amer. Math. Monthly, 81 (1974), 170-171.
F. Bergeron, L. Favreau and D. Krob, Conjectures on the enumeration of tableaux of bounded height, Discrete Math, vol. 139, no. 1-3 (1995), 463-468.
|
|
PROGRAM
|
(PARI) a(n)=sum(k=0, n\2, (binomial(n, k)-binomial(n, k-1))^3) /* Michael Somos Jun 02 2005 */
|
|
CROSSREFS
|
Cf. A003162.
Cf. A001405, A000108, A129123.
Sequence in context: A073156 A121345 A137955 this_sequence A101610 A111601 A037553
Adjacent sequences: A003158 A003159 A003160 this_sequence A003162 A003163 A003164
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
|
Search completed in 0.002 seconds
|
