A002380 -id:A002380 - cp's OEIS frontend

A245805 a(n) = 12^n mod 11^n.

0, 1, 23, 397, 6095, 87781, 1214423, 16344637, 1263934, 443884970, 10042515022, 172385029466, 2639243694814, 3425068947279, 144668963799141, 2875277066339415, 1085339440747772, 196822992743261908, 4383664026916317980, 13684547128550195393, 470010017784675076171

Offset: 0

Vincenzo Librandi, Aug 04 2014

Vincenzo Librandi, Table of n, a(n) for n = 0..970

Cf. k^n mod (k-1)^n: A002380 (k=3), A064629 (k=4), A138589 (k=5), A138649 (k=6), A139786 (k=7), A138973 (k=8), A139733 (k=9), A016189 (k=10), A016195 (k=11), this sequence (k=12),

Magma
```
[12^n mod 11^n: n in [0..25]];
```

Table[PowerMod[12, n, 11^n], {n, 0, 30}]

vector(50, n, 12^(n-1)%11^(n-1)) \\ Derek Orr, Aug 04 2014

A124402 Numbers k such that 3^k mod 2^k < 3^(k-1) mod 2^(k-1).

Original entry on oeis.org

4, 7, 17, 20, 24, 27, 29, 40, 45, 48, 49, 53, 55, 57, 61, 62, 65, 67, 72, 76, 79, 82, 83, 85, 88, 91, 95, 100, 101, 106, 107, 109, 112, 119, 124, 136, 139, 142, 149, 151, 153, 158, 159, 164, 165, 167, 171, 178, 186, 189, 193, 197, 198, 202, 204, 209, 210, 215, 219

Offset: 1

Robert G. Wilson v, Dec 14 2006

nonn

Also indices k such that A002380(k) < A002380(k-1).

			1 == 3^4 (mod 2^4) which is less than 3 == 3^3 (mod 2^3) so 4 is a term.

Cf. A002380.

pm = 0; lst = {}; Do[pn = PowerMod[3, n, 2^n]; If[pn < pm, AppendTo[lst, n]]; pm = pn, {n, 221}]; lst

cp's OEIS Frontend

A245805 a(n) = 12^n mod 11^n.

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