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.

A115954 Inverse of number triangle A115952.

Original entry on oeis.org

1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1
Offset: 0

Views

Author

Paul Barry, Feb 02 2006

Keywords

Comments

Row sums are A014701(n+1).

Examples

			Triangle begins
1,
1, 1,
1, 0, 1,
1, 0, 1, 1,
1, 1, 0, 0, 1,
1, 1, 0, 0, 1, 1,
1, 0, 1, 0, 0, 0, 1,
1, 0, 1, 0, 0, 0, 1, 1,
1, 0, 1, 1, 0, 0, 0, 0, 1,
1, 0, 1, 1, 0, 0, 0, 0, 1, 1,
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1,
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1,
1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1

Crossrefs

Cf. A014701, A115526.

A115955 Product of A115952 and summing matrix (1/(1-x),x).

Original entry on oeis.org

1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1
Offset: 0

Views

Author

Paul Barry, Feb 02 2006

Keywords

Comments

Row sums are A057979(n+3).

Examples

			Triangle begins
1,
0, 1,
0, 1, 1,
0, 0, 0, 1,
0, 0, 1, 1, 1,
0, 0, 0, 0, 0, 1,
0, 0, 0, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1

A115953 Periodic {1,-1,0,0,1,-2,1,0,0,-1,1,-1}.

Original entry on oeis.org

1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1, 1, -1, 0, 0, 1, -2, 1, 0, 0, -1, 1, -1
Offset: 0

Views

Author

Paul Barry, Feb 02 2006

Keywords

Comments

Diagonal sums of number triangle A115952.

Links

Programs

  • Mathematica
    LinearRecurrence[{-1,-1,0,1,1,1},{1,-1,0,0,1,-2},80] (* or *) PadRight[{},80,{1,-1,0,0,1,-2,1,0,0,-1,1,-1}] (* Harvey P. Dale, Jan 28 2023 *)

Formula

G.f.: (1-x^3-x^5)/((1-x^3)(1+x+x^2+x^3))
Showing 1-3 of 3 results.

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

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