A175624 a(n) = n! modulo n*(n+1)*(n+2)/3.
1, 2, 6, 24, 50, 48, 0, 0, 210, 120, 352, 168, 0, 0, 800, 288, 1122, 360, 0, 0, 2002, 528, 0, 0, 0, 0, 4032, 840, 4930, 960, 0, 0, 0, 0, 8400, 1368, 0, 0, 11440, 1680, 13202, 1848, 0, 0, 17250, 2208, 0, 0, 0, 0, 24752, 2808, 0, 0, 0, 0, 34162, 3480, 37760, 3720, 0, 0, 0, 0
Offset: 1
Keywords
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[Factorial(n) mod (2*Binomial(n+2,3)): n in [1..80]]; // G. C. Greubel, Apr 12 2024
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Mathematica
Table[Mod[(n!), (n^3 + 3 n^2 + 2 n)/3], {n, 100}] (* Vincenzo Librandi, Jul 10 2014 *) -
PARI
a(n) = n! % (n*(n+1)*(n+2)/3); \\ Michel Marcus, Jul 09 2014
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SageMath
[factorial(n)%(2*binomial(n+2,3)) for n in range(1,81)] # G. C. Greubel, Apr 12 2024
Comments