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 1-4 of 4 results.

A131774 2*A065941 - A049310.

Original entry on oeis.org

1, 2, 1, 1, 2, 1, 2, 0, 4, 1, 1, 2, 3, 4, 1, 2, -1, 8, 2, 6, 1, 1, 2, 4, 8, 7, 6, 1, 2, -2, 12, 0, 20, 6, 8, 1, 1, 2, 4, 12, 15, 20, 13, 8, 1, 2, -3, 16, -6, 42, 9, 40, 12, 10, 1
Offset: 1

Views

Author

Gary W. Adamson, Jul 14 2007

Keywords

Comments

Row sums = the Lucas numbers, A000032, starting (1, 3, 4, 7, 11, ...). Generally, N*A065941 - (N-1)*A049310 = triangles with row sums = Fibonacci-like sequences starting (1, (N+1), (N+1+1), ...). With N = 2, row sums of the triangle A131774 = (1, 3, 4, 7, ...).

Examples

			First few rows of the triangle:
  1;
  2,  1;
  1,  2,  1;
  2,  0,  4,  1;
  1,  2,  3,  4,  1;
  2, -1,  8,  2,  6,  1;
  1,  2,  4,  8,  7,  6,  1;
  ...

Crossrefs

Cf. A065941, A049310, A000032, A131775, A131776, A131777, A131778.

Formula

2*A065941 - A049310 as infinite lower triangular matrices.

A131775 3*A065941 - 2*A049310.

Original entry on oeis.org

1, 3, 1, 1, 3, 1, 3, -1, 6, 1, 1, 3, 3, 6, 1, 3, -3, 12, 1, 9, 1, 1, 3, 3, 12, 8, 9, 1, 3, -5, 18, -5, 30, 6, 12, 1, 1, 3, 1, 18, 15, 30, 16, 12, 1, 3, -7, 24, -19, 63, 3, 60, 14, 15, 1
Offset: 1

Views

Author

Gary W. Adamson, Jul 14 2007

Keywords

Comments

Row sums = A000285, (a Fibonacci-like sequence) starting (1, 4, 5, 9, 14, 23, ...).

Examples

			Table begins:
  1;
  3,  1;
  1,  3,  1;
  3, -1,  6,  1;
  1,  3,  3,  6,  1;
  3, -3, 12,  1,  9,  1;
  1,  3,  3, 12,  8,  9,  1;
  3, -5, 18, -5, 30,  6, 12,  1;
  1,  3,  1, 18, 15, 30, 16, 12,  1;
  ...

Crossrefs

Cf. A065941, A049310, A131774, A131776, A131777, A131778.

Formula

3*A065941 - 2*A049310.

A131776 4*A065941 - 3*A049310.

Original entry on oeis.org

1, 4, 1, 1, 4, 1, 4, -2, 8, 1, 1, 4, 3, 8, 1, 4, -5, 16, 0, 12, 1, 1, 4, 2, 16, 9, 12, 1, 4, -8, 24, -10, 40, 6, 16, 1, 1, 4, -2, 24, 15, 40, 19, 16, 1, 4, -11, 32, -32, 84, -3, 80, 16, 20, 1
Offset: 1

Views

Author

Gary W. Adamson, Jul 14 2007

Keywords

Comments

Row sums = A022095, a Fibonacci-like sequence starting (1, 5, 6, 11, 17, 28, ...).

Examples

			First few rows of the triangle:
  1;
  4,  1;
  1,  4,  1;
  4, -2,  8,  1;
  1,  4,  3,  8,  1;
  4, -5, 16,  0, 12,  1;
  1,  4,  2, 16,  9, 12,  1;
  ...

Crossrefs

Cf. A065941, A049310, A022095, A131774, A131775, A131777, A131778.

Formula

4*A065941 - 3*A049310 as infinite lower triangular matrices.

A131778 6*A065941 - 5*A049310.

Original entry on oeis.org

1, 6, 1, 1, 6, 1, 6, -4, 12, 1, 1, 6, 3, 12, 1, 6, -9, 24, -2, 18, 1, 1, 6, 0, 24, 11, 18, 1, 6, -14, 36, -20, 60, 6, 24, 1, 1, 6, -8, 36, 15, 60, 25, 24, 1, 6, -19, 48, -58, 126, -15, 120, 20, 30, 1
Offset: 1

Views

Author

Gary W. Adamson, Jul 14 2007

Keywords

Comments

Row sums = A022097, a Fibonacci-like sequence starting (1, 7, 8, 15, 23, 38, ...).

Examples

			First few rows of the triangle:
  1;
  6,  1;
  1,  6,  1;
  6, -4, 12,  1;
  1,  6,  3, 12,  1;
  6, -9, 24, -2, 18,  1;
  1,  6,  0, 24, 11, 18,  1;
  ...

Crossrefs

Cf. A065941, A049310, A099097, A131774, A131775, A131776, A131777.

Formula

6*A065941 - 5*A049310 as infinite lower triangular matrices.
Showing 1-4 of 4 results.

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

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