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%I #23 Mar 13 2023 11:17:59
%S 0,0,0,0,0,0,9,0,32,10,33,0,37,273,80,840,1116,816,404,1485,1742,7854,
%T 27833,0,49100,37681,66606,85839,222482,656920,1335931,417165,362268,
%U 3309347,1266460,976752,20352231,19601527,4303068,8848455,136897669,254107048
%N a(n) = n! mod Fibonacci(n).
%H Vincenzo Librandi, <a href="/A182213/b182213.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = A000142(n) mod A000045(n), n>0.
%F a(n) = n! mod fibonacci(n), n>0.
%e a(6) = 720 mod 8 = 0, a(7)= 5040 mod 13 = 9.
%t Table[Mod[n!, Fibonacci[n]], {n, 50}] (* _T. D. Noe_, Apr 19 2012 *)
%o (Python)
%o prpr = 0
%o prev = 1
%o fa = 1
%o for i in range(2,50):
%o print(fa % prev, end=',')
%o fa *= i
%o current = prev + prpr
%o prpr = prev
%o prev = current
%o (PARI) a(n) = n!%fibonacci(n); \\ _Bill McEachen_, Feb 03 2014
%o (Magma) [Factorial(n) mod Fibonacci(n): n in [1..50]]; // _Vincenzo Librandi_, Feb 04 2014
%Y Cf. A000045, A000142, A182212.
%K nonn,easy
%O 1,7
%A _Alex Ratushnyak_, Apr 19 2012
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