|
|
A080394
|
|
Numbers k such that binomial(k, floor(k/2)) is divisible by k^2.
|
|
3
|
|
|
1, 195, 273, 357, 385, 399, 585, 627, 665, 897, 935, 945, 957, 975, 1071, 1085, 1155, 1209, 1235, 1395, 1547, 1581, 1595, 1705, 1771, 1848, 1881, 1925, 1935, 1995, 2035, 2091, 2193, 2255, 2295, 2331, 2365, 2405, 2475, 2574, 2583, 2585, 2639, 2665, 2679
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
EXAMPLE
|
Very few values are even, like 1848 and 2574 (in A067348).
|
|
MATHEMATICA
|
Do[s=Binomial[n, Floor[n/2]]/n^2; If[IntegerQ[s], Print[n]], {n, 1, 10000}]
|
|
PROG
|
(PARI) is(k) = !(binomial(k, k\2) % n^2); \\ Amiram Eldar, Aug 11 2024
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|