A174620 -id:A174620 - cp's OEIS frontend

A181670 Triangle read by rows: T(n,k) = 2^(n-1) mod prime(k), 1 <= k <= n.

1, 0, 2, 0, 1, 4, 0, 2, 3, 1, 0, 1, 1, 2, 5, 0, 2, 2, 4, 10, 6, 0, 1, 4, 1, 9, 12, 13, 0, 2, 3, 2, 7, 11, 9, 14, 0, 1, 1, 4, 3, 9, 1, 9, 3, 0, 2, 2, 1, 6, 5, 2, 18, 6, 19, 0, 1, 4, 2, 1, 10, 4, 17, 12, 9, 1, 0, 2, 3, 4, 2, 7, 8, 15, 1, 18, 2, 13, 0, 1, 1, 1, 4, 1, 16, 11, 2, 7, 4, 26, 37, 0, 2, 2, 2, 8, 2, 15

Offset: 1

Juri-Stepan Gerasimov, Dec 02 2010

			Triangle begins:
  1;
  0, 2;
  0, 1, 4;
  0, 2, 3, 1;
  0, 1, 1, 2, 5;
  0, 2, 2, 4,10, 6;
  0, 1, 4, 1, 9,12,13;
  0, 2, 3, 2, 7,11, 9,14;
  0, 1, 1, 4, 3, 9, 1, 9, 3;

Cf. A174620.

Flatten[Table[Mod[2^(n-1),Prime[k]],{n,14},{k,n}]]

Corrected by T. D. Noe, Dec 02 2010

A177416 Triangle read by rows: T(n,k) = 2^A141468(n) mod prime(k).

Original entry on oeis.org

1, 0, 2, 0, 1, 1, 0, 1, 4, 1, 0, 1, 1, 4, 3, 0, 2, 2, 1, 6, 5, 0, 1, 4, 2, 1, 10, 4, 0, 1, 1, 1, 4, 1, 16, 11, 0, 1, 4, 4, 5, 4, 13, 6, 8, 0, 2, 3, 1, 10, 8, 9, 12, 16, 27, 0, 1, 1, 2, 9, 3, 1, 5, 9, 25, 2, 0, 1, 4, 1, 3, 12, 4, 1, 13, 13, 8, 36, 0, 1, 1, 4, 1, 9, 16, 4, 6, 23, 1, 33, 1, 0, 2, 2, 1, 2, 5, 15, 8, 12, 17, 2, 29, 2, 42

Offset: 1

Juri-Stepan Gerasimov, Dec 10 2010

			The triangle begins at row n = 1 with columns 1 <= k <= n:
  1;
  0, 2;
  0, 1, 1;
  0, 1, 4, 1;
  0, 1, 1, 4, 3;
  0, 2, 2, 1, 6, 5;

Cf. A000079, A141468, A174620.

MapIndexed[PowerMod[2, #, Prime[Range[First[#2]]]] &, Join[{0, 1}, Select[Range[25], CompositeQ]]] (* Paolo Xausa, Jul 01 2024 *)

A 23 replaced with 33 by R. J. Mathar, Dec 13 2010

A174660 a(n) = 2^A158611(n) mod A002808(n).

Original entry on oeis.org

1, 2, 4, 8, 2, 8, 4, 2, 0, 2, 8, 11, 2, 8, 2, 24, 23, 4, 8, 0, 29, 26, 2, 20, 34, 32, 32, 32, 8, 23, 12, 32, 2, 48, 2, 24, 32, 13, 16, 2, 44, 32, 16, 2, 0, 2, 62, 60, 50, 58, 32, 52, 17, 32, 2, 20, 32, 50, 20, 44, 32, 2, 8, 8, 38, 46, 32, 35, 42, 22, 32, 58, 41, 88, 26, 80, 23, 12, 104, 62

Offset: 1

Juri-Stepan Gerasimov, Nov 30 2010

nonn

Cf. A000079, A002808, A158611, A174620.

cp's OEIS Frontend

A181670 Triangle read by rows: T(n,k) = 2^(n-1) mod prime(k), 1 <= k <= n.

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A177416 Triangle read by rows: T(n,k) = 2^A141468(n) mod prime(k).

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A174660 a(n) = 2^A158611(n) mod A002808(n).

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