0,5

a(0) = -1 is the only negative value. Asymptotic value left as an exercise for the reader.

a(n) = A068096(n) - A068098(n). a(n) = Commutator [A000045,A000032] at n. a(n) = A000045(A000032(n)) - A000032(A000045(n)).

a(0) = F(L(0)) - L(F(0)) = F(2) - L(0) = 1 - 2 = -1.

a(1) = F(L(1)) - L(F(1)) = F(1) - L(1) = 1 - 1 = 0.

a(2) = F(L(2)) - L(F(2)) = F(3) - L(1) = 2 - 1 = 1.

a(3) = F(L(3)) - L(F(3)) = F(4) - L(2) = 3 - 3 = 0.

a(4) = F(L(4)) - L(F(4)) = F(7) - L(3) = 13 - 4 = 9.

a(5) = F(L(5)) - L(F(5)) = F(11) - L(5) = 89 - 11 = 78.

a(6) = F(L(6)) - L(F(6)) = F(18) - L(8) = 2584 - 47 = 2537.

a(7) = F(L(7)) - L(F(7)) = F(29) - L(13) = 514229 - 521 = 513708.

a(8) = F(L(8)) - L(F(8)) = 2971215073 - 24476 = 2971190597.

a(9) = F(L(9)) - L(F(9)) = 3416454622906707 - 12752043 = 3416454610154664.

a(10) = F(L(10)) - L(F(10)) = 22698374052006863956975682 - 312119004989 = 22698374052006551837970693.

a(11) = F(L(11)) - L(F(11)) = 173402521172797813159685037284371942044301 - 3980154972736918051 = 173402521172797813159681057129399205126250.

Cf. A000032, A000045, A068096, A068098.

Adjacent sequences: A123915 A123916 A123917 this_sequence A123919 A123920 A123921

Sequence in context: A124131 A000445 A046196 this_sequence A044577 A126632 A125909

easy,sign

Jonathan Vos Post (jvospost2(AT)yahoo.com), Oct 28 2006