cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A133699 A051731 * A133698.

Original entry on oeis.org

1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2
Offset: 1

Views

Author

Gary W. Adamson, Sep 21 2007

Keywords

Comments

Right border = A001227, the number of odd divisors of n.
Row sums = A133700: (1, 2, 3, 3, 3, 6, 3, 4, 6, 6, ...)

Examples

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

Crossrefs

Cf. A051731, A133698, A133700.

Formula

Inverse Mobius transform of A133698, as infinite lower triangular matrices.

A133701 A133698 * A051731.

Original entry on oeis.org

1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 3, 0, 3, 0, 0, 0, 0, 0, 3, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2
Offset: 1

Views

Author

Gary W. Adamson, Sep 21 2007

Keywords

Comments

Left and right borders = A001227: (1, 1, 2, 1, 2, 2, 2, ...), the number of odd divisors of n.
Row sums = A133702, the inverse Mobius transform of A023136.

Examples

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

Crossrefs

Cf. A051731, A133698, A001227, A133702, A023136.

Formula

A133698 * A051731 as infinite lower triangular matrices.

A133702 A051731 * A023136.

Original entry on oeis.org

1, 2, 4, 3, 4, 8, 4, 4, 9, 8, 4, 12, 4, 8, 16, 5, 6, 18, 4, 12, 16, 8, 4, 16, 9, 8, 16, 12, 4, 32, 8, 6, 16, 12, 16, 27, 4, 8, 16, 16, 6, 32, 8, 12, 36, 8, 4, 20, 9, 18, 24, 12, 4, 32, 16, 16, 16, 8, 4, 48, 4, 16, 44, 7, 20, 32, 4, 18, 16, 32, 4, 36, 10, 8, 36, 12, 16, 32, 4, 20, 25, 12, 4, 48
Offset: 1

Views

Author

Gary W. Adamson, Sep 21 2007

Keywords

Comments

A023136 = (1, 1, 3, 1, 3, 3, 3, 1, 5, 3, ...).

Examples

			a(4) = 3 = (1, 1, 0, 1) * (1, 1, 3, 1) = (1, 1, 0, 1), row 4 of triangle A133701.

Crossrefs

Cf. A051731, A133698, A023136.

Formula

Inverse Mobius transform of A023136.

Extensions

More terms from R. J. Mathar, Jan 19 2009
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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