A197219 -id:A197219 - cp's OEIS frontend

A197218 a(n) = phi(Lucas(n)).

1, 1, 2, 2, 6, 10, 6, 28, 46, 36, 80, 198, 132, 520, 560, 600, 2206, 3570, 1908, 9348, 12960, 11760, 25704, 63480, 50692, 150000, 180960, 208008, 609084, 1130304, 604800, 3010348, 4865280, 3920400, 8374344, 17836000, 13685760, 54018520, 58269200, 69600960

Offset: 0

T. D. Noe, Oct 12 2011

nonn

Amiram Eldar, Table of n, a(n) for n = 0..1000 (using Blair Kelly's data; terms 0..200 from Vincenzo Librandi)
Blair Kelly, Fibonacci and Lucas Factorizations

Cf. A000010, A000032, A065449, A065451, A197219 (Lucas(phi(n))).

[EulerPhi(Lucas(n)): n in [0..40]]; // Vincenzo Librandi, Oct 13 2011

Mathematica
```
Table[EulerPhi[LucasL[n]], {n, 0, 40}]
```

for(n=0,30, print1(eulerphi(fibonacci(n+1) + fibonacci(n-1)), ", ")) \\ G. C. Greubel, Dec 22 2017

a(n) = A000010(A000032(n)).

A197190 a(0) = 2, a(n) = Lucas(phi(n^2)) for n > 0.

Original entry on oeis.org

2, 1, 3, 18, 47, 15127, 322, 599074578, 4870847, 192900153618, 228826127, 97418273275323406890123, 10749957122, 400010949097364802732720796316482, 358890350005878082, 11981655542024930675232002, 562882766124611619513723647, 699259133978938420550028971714417160188479526095241271647

Offset: 0

Vincenzo Librandi, Oct 13 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..60

Cf. A000010, A000032, A002618, A197218, A197219.

[2] cat [Lucas(EulerPhi(n^2)): n in [1..20]];

a(n) = A000032(A002618(n)) for n > 0.

A197191 a(n) = phi(Lucas(n^2)).

Original entry on oeis.org

1, 1, 6, 36, 2206, 150000, 13685760, 16794009904, 23538338288640, 40111742758242240, 678603619866009600000, 19289305175281390070751204, 619856418580365858926902640640, 208006459829483370218035382709089280, 78451383926677134672195807581733722937984

Offset: 0

Vincenzo Librandi, Oct 13 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..20

Cf. A197218, A197219.

Magma
```
[EulerPhi(Lucas(n^2)): n in [0..15]]
```

Table[EulerPhi[LucasL[n^2]], {n, 0, 15}] (* Vincenzo Librandi, Oct 04 2013 *)

cp's OEIS Frontend

A197218 a(n) = phi(Lucas(n)).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica

PARI

Formula

A197190 a(0) = 2, a(n) = Lucas(phi(n^2)) for n > 0.

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Formula

A197191 a(n) = phi(Lucas(n^2)).

Views

Author

Keywords

Links

Crossrefs

Programs

Magma

Mathematica