A083290 -id:A083290 - cp's OEIS frontend

A082415 Numbers n such that in all partitions of n into distinct coprimes these coprimes are also mutually relatively prime.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 18, 22, 24, 30

Offset: 1

Reinhard Zumkeller, Apr 23 2003

nonn

			8=1+7=3+5, so 8 is a term because of 1 _|_ 7 and 3 _|_ 5.

A128189 Moebius transform of A128174.

Original entry on oeis.org

1, -1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, -1, 1, -1, 1, 0, 1, 0, 1

Offset: 1

Gary W. Adamson, Feb 17 2007

Row sums = A083290: (1, 0, 1, 1, 2, 1, 3, 2, 3, 2, ...).

			First few rows of the triangle:
   1;
  -1, 1;
   0, 0, 1;
   0, 0, 0, 1;
   0, 0, 1, 0, 1;
  ...

Cf. A051731, A128174, A083290.

A054525 * A128174 as infinite lower triangular matrices.

A128522 A054525 * A128174 * A000012.

Original entry on oeis.org

1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 3, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 3, 3, 3, 3, 3, 2, 2, 1, 1, 2, 2, 2, 3, 2, 3, 2, 2, 1, 1

Offset: 1

Gary W. Adamson, Mar 07 2007

Row sums = A123323: (1, 1, 3, 4, 8,7, 15, 14, ...). Left column = A083290: (1, 0, 1, 1, 2, 1, 3, 2, 3, 2, ...) A128521 = A128174 * A054525 * A000012.

			First few rows of the triangle:
  1;
  0, 1;
  1, 1, 1;
  1, 1, 1, 1;
  2, 2, 2, 1, 1;
  1, 1, 1, 2, 1, 1;
  3, 3, 3, 2, 2, 1, 1;
  2, 2, 2, 2, 2, 2, 1, 1;
  3, 3, 3, 3, 3, 2, 2, 1, 1;
  ...

Cf. A054525, A128174, A000012, A083290, A123323, A128521.

A054525 * A128174 * A000012 as infinite lower triangular matrices.

cp's OEIS Frontend

A082415 Numbers n such that in all partitions of n into distinct coprimes these coprimes are also mutually relatively prime.

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A128189 Moebius transform of A128174.

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A128522 A054525 * A128174 * A000012.

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