A371474 Numbers k such that binomial(k^2,k) == 0 (mod k^3).

1, 2184, 6552, 12870, 13860, 19530, 23100, 33660, 40755, 47880, 51051, 58995, 81396, 88920, 101010, 113553, 114114, 114855, 121800, 125970, 136136, 141372, 142290, 142324, 145860, 150535, 154583, 157080, 158928, 164424, 171080, 180180, 193732, 195104, 197340, 214890, 225680, 229908, 230230, 230724, 238602, 243542, 249964, 253080, 257712, 267960, 284867, 291720, 294525, 297414, 300696

Offset: 1

Author

Seiichi Manyama, Mar 24 2024

Keywords

• nonn

Crossrefs

Cf. A014062, A081370.

Programs

PARI

isok(n) = binomial(n^2, n)%n^3==0;

Python

from itertools import count, islice
from math import comb
def A371474_gen(): # generator of terms
    return filter(lambda k:not comb(k**2,k)%(k**3),count(1))
A371474_list = list(islice(A371474_gen(),3)) # Chai Wah Wu, Mar 25 2024

Extensions

More terms from Vaclav Kotesovec, Mar 26 2024