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%I #19 Apr 11 2024 16:13:57
%S -1,0,0,0,399,357857,13055867207,558545862282195466,
%T 5070602400912917604201018916608,
%U 30432527221704537086371993251530170527181380482652674,99999999999999999999999999999999999999999999999999999999999999999999968818280070033816399
%N a(n) = (n-1)^F(n) - F(n)^(n-1), where F(n) = A000045(n).
%F a(n) = (n-1)^A000045(n) - A000045(n)^(n-1). - _Jonathan Vos Post_, Jul 12 2008
%e a(1) = (1-1)^F(1) - F(1)^(1-1) = 0^1 - 1^0 = 0 - 1 = -1;
%e a(4) = (4-1)^F(4) - F(4)^(4-1) = 3^3 - 3^3 = 27 - 27 = 0;
%e a(5) = (5-1)^F(5) - F(5)^(5-1) = 4^5 - 5^4 = 1024 - 625 = 399.
%t Table[(n-1)^Fibonacci[n] - Fibonacci[n]^(n-1), {n, 1, 12}] (* _Georg Fischer_, Apr 11 2023 *)
%Y Cf. A000045, A007965.
%K sign,less
%O 1,5
%A _Juri-Stepan Gerasimov_, Jul 07 2008
%E More terms from _Jonathan Vos Post_, Jul 12 2008
%E a(1) and a(7) corrected by _Georg Fischer_, Apr 11 2024