A250288 -id:A250288 - cp's OEIS frontend

A366707 Number of distinct prime divisors of 12^n - 1.

1, 2, 2, 4, 2, 5, 3, 6, 4, 4, 3, 8, 3, 6, 6, 9, 3, 9, 2, 7, 5, 5, 4, 12, 4, 7, 6, 10, 5, 13, 5, 11, 7, 6, 9, 14, 3, 6, 7, 13, 4, 13, 5, 11, 12, 8, 3, 18, 5, 10, 6, 12, 7, 16, 7, 13, 7, 8, 4, 18, 4, 8, 8, 13, 8, 16, 5, 10, 7, 14, 4, 21, 3, 7, 11, 11, 10, 17, 4

Offset: 1

Sean A. Irvine, Oct 17 2023

nonn

Max Alekseyev, Table of n, a(n) for n = 1..310

Cf. A024140, A001221, A046800, A133801, A102347, A250288, A252170, A366708, A366709, A366681.

for(n = 1, 100, print1(omega(12^n - 1), ", "))

a(n) = omega(12^n-1) = A001221(A024140(n)).

A366708 Number of prime factors of 12^n - 1 (counted with multiplicity).

Original entry on oeis.org

1, 2, 2, 4, 2, 5, 3, 6, 4, 4, 4, 8, 3, 6, 6, 9, 3, 9, 2, 8, 5, 6, 4, 12, 4, 8, 6, 10, 5, 13, 5, 11, 8, 6, 9, 14, 3, 6, 7, 14, 4, 14, 5, 12, 12, 8, 3, 18, 5, 10, 6, 13, 7, 16, 8, 13, 7, 8, 4, 19, 4, 8, 8, 13, 8, 17, 5, 10, 7, 14, 4, 21, 3, 7, 11, 11, 11, 18, 4

Offset: 1

Sean A. Irvine, Oct 17 2023

nonn

Max Alekseyev, Table of n, a(n) for n = 1..310

Cf. A024140, A001222, A046051, A057951, A057952, A057953, A057954, A057955, A057956, A057957, A057958, A250288, A252170, A366707, A366709, A366682.

Mathematica
```
PrimeOmega[12^Range[70]-1]
```
PARI
```
a(n)=bigomega(12^n-1)
```

a(n) = bigomega(12^n-1) = A001222(A024140(n)).

A250210 Irregular triangle read by rows in which row n lists the prime factors of the duodecimal repunit ((12^n-1)/11). (Written in base 10).

Original entry on oeis.org

13, 157, 5, 13, 29, 22621, 7, 13, 19, 157, 659, 4943, 5, 13, 29, 89, 233, 37, 157, 80749, 13, 19141, 22621, 11, 23, 266981089, 5, 7, 13, 19, 29, 157, 20593, 477517, 20369233, 13, 211, 659, 4943, 13063, 61, 157, 661, 9781, 22621, 5, 13, 17, 29, 89, 97, 233, 260753

Offset: 2

Eric Chen, Dec 29 2014

			Triangle begins:
[13]
[157]
[5, 13, 29]
[22621]
[7, 13, 19, 157]
[659, 4943]
[5, 13, 29, 89, 233]
[37, 157, 80749]
[13, 19141, 22621]
...

Cf. A102380, A004064, A250288.

tabf(nn) = for (n=1, nn, print(factor((12^n-1)/11)[,1]~);); \\ Michel Marcus, Dec 29 2014

cp's OEIS Frontend

A366707 Number of distinct prime divisors of 12^n - 1.

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PARI

Formula

A366708 Number of prime factors of 12^n - 1 (counted with multiplicity).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

PARI

Formula

A250210 Irregular triangle read by rows in which row n lists the prime factors of the duodecimal repunit ((12^n-1)/11). (Written in base 10).

Views

Author

Keywords

Examples

Crossrefs

Programs

PARI