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Positive integers k such that k! is divisible by (k+1)^7.
7

%I #8 Jul 16 2023 10:56:37

%S 35,39,44,47,53,55,59,62,63,69,71,74,79,80,83,87,89,95,97,98,99,103,

%T 104,107,109,111,116,119,124,125,127,129,131,134,135,139,142,143,146,

%U 149,151,152,153,155,159,161,164,167,169,170,174,175,179,181,183,186

%N Positive integers k such that k! is divisible by (k+1)^7.

%H Seiichi Manyama, <a href="/A061755/b061755.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range[200], IntegerQ[ #!/(# + 1)^7] &]

%Y Cf. A061743, A061751, A061752, A061753, A061754, A061756, A061757, A061758, A061759.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Jun 21 2001