cp's OEIS Frontend

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

%I A371474 #16 Mar 26 2024 03:01:27
%S A371474 1,2184,6552,12870,13860,19530,23100,33660,40755,47880,51051,58995,
%T A371474 81396,88920,101010,113553,114114,114855,121800,125970,136136,141372,
%U A371474 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
%N A371474 Numbers k such that binomial(k^2,k) == 0 (mod k^3).
%o A371474 (PARI) isok(n) = binomial(n^2, n)%n^3==0;
%o A371474 (Python)
%o A371474 from itertools import count, islice
%o A371474 from math import comb
%o A371474 def A371474_gen(): # generator of terms
%o A371474     return filter(lambda k:not comb(k**2,k)%(k**3),count(1))
%o A371474 A371474_list = list(islice(A371474_gen(),3)) # _Chai Wah Wu_, Mar 25 2024
%Y A371474 Cf. A014062, A081370.
%K A371474 nonn
%O A371474 1,2
%A A371474 _Seiichi Manyama_, Mar 24 2024
%E A371474 More terms from _Vaclav Kotesovec_, Mar 26 2024