A244559 Numbers obtained by concatenating the squares of the digits of n!.
1, 4, 36, 416, 140, 4940, 250160, 160940, 936464640, 9364646400, 981811366400, 1649810013600, 3644490406400, 6449149644811400, 1904936491693664000, 408144496481646464000, 925253664491646408136000, 36160494994902549464000, 141361625100160646494000
Offset: 1
Examples
For n = 7, 7! = 5040 and a(7) = 250160, which is the concatenation of the squares of the digits of 5040. For n=8, 8! = 40320 and a(8) = 160940.
Programs
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Magma
[StringToInteger(&cat[IntegerToString(h): h in Reverse([i^2: i in Intseq(Factorial(n))])]): n in [1..50]];
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Mathematica
Table[FromDigits[Flatten[IntegerDigits/@(IntegerDigits[n!]^2)]],{n,20}] (* Harvey P. Dale, Sep 07 2025 *)