A197218 -id:A197218 - cp's OEIS frontend

A197219 a(0) = 2, a(n) = Lucas(phi(n)) for n > 0.

2, 1, 1, 3, 3, 7, 3, 18, 7, 18, 7, 123, 7, 322, 18, 47, 47, 2207, 18, 5778, 47, 322, 123, 39603, 47, 15127, 322, 5778, 322, 710647, 47, 1860498, 2207, 15127, 2207, 103682, 322, 33385282, 5778, 103682, 2207, 228826127, 322, 599074578, 15127, 103682, 39603

Offset: 0

T. D. Noe, Oct 12 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. A000010, A000032, A065449, A065451, A197218 (phi(Lucas(n))).

[2] cat [Lucas(EulerPhi(n)): n in [1..60]]; // Vincenzo Librandi, Oct 13 2011

Mathematica
```
Table[LucasL[EulerPhi[n]], {n, 0, 50}]
```

a(n) = if(n==0, 2, fibonacci(eulerphi(n)+1) + fibonacci(eulerphi(n)-1)) \\ G. C. Greubel, Dec 22 2017

a(n) = A000032(A000010(n)) for n > 0.

A107647 Euler's totient function applied to tribonacci numbers.

Original entry on oeis.org

1, 1, 1, 2, 6, 12, 8, 20, 54, 148, 136, 144, 612, 1200, 1344, 2448, 10506, 16848, 13824, 22000, 83232, 148716, 205368, 377736, 920160, 1694088, 1880304, 3290112, 14839968, 22472640, 17805312, 42407136, 117876096, 327661128, 178588800, 561863168, 1604383200

Offset: 2

Roger L. Bagula, Jun 09 2005

nonn

Amiram Eldar, Table of n, a(n) for n = 2..365

Cf. A000010, A000073, A065449, A197218, A272040.

F[1] = 0; F[2] = 1; F[3] = 1; F[n__] := F[n] = F[n - 1] + F[n - 2] + F[n - 3]; Table[EulerPhi[F[n]], {n, 2, 50}]

a(n) = A000010(A000073(n)). - Amiram Eldar, Mar 02 2020

First term 0 removed and offset corrected by Amiram Eldar, Mar 02 2020

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 *)

A366773 a(n) = A000010(A001045(n)).

Original entry on oeis.org

1, 1, 2, 4, 10, 12, 42, 64, 108, 300, 682, 576, 2730, 5292, 6600, 16384, 43690, 46656, 174762, 240000, 455112, 1320352, 2796202, 2211840, 10125000, 22358700, 28256040, 66382848, 175923744, 178200000, 715827882, 1073741824, 1877540544, 5726448300, 10133592000

Offset: 1

Sean A. Irvine, Oct 21 2023

nonn

Amiram Eldar, Table of n, a(n) for n = 1..1122

Cf. A000010, A001045, A065449, A197218, A272040.

a(n) = phi(A001045(n)).

cp's OEIS Frontend

A197219 a(0) = 2, a(n) = Lucas(phi(n)) for n > 0.

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A107647 Euler's totient function applied to tribonacci numbers.

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Mathematica

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Extensions

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

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Magma

Formula

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

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Author

Keywords

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Programs

Magma

Mathematica

A366773 a(n) = A000010(A001045(n)).

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