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 1-2 of 2 results.

A122440 Riordan array ((3-sqrt(1+8x))/2, (sqrt(1+8x)-1)/4).

Original entry on oeis.org

1, -2, 1, 4, -4, 1, -16, 16, -6, 1, 80, -80, 32, -8, 1, -448, 448, -184, 52, -10, 1, 2688, -2688, 1120, -336, 76, -12, 1, -16896, 16896, -7104, 2208, -544, 104, -14, 1, 109824
Offset: 0

Views

Author

Paul Barry, Sep 05 2006

Keywords

Comments

Inverse of A122438. Row sums are A122441.

Examples

			Triangle begins
1,
-2, 1,
4, -4, 1,
-16, 16, -6, 1,
80, -80, 32, -8, 1,
-448, 448, -184, 52, -10, 1,
2688, -2688, 1120, -336, 76, -12, 1
		

A122439 Expansion of 1/(1-2x-x^2+4x^4).

Original entry on oeis.org

1, 2, 5, 12, 25, 54, 113, 232, 477, 970, 1965, 3972, 8001, 16094, 32329, 64864, 130053, 260594, 521925, 1044988, 2091689, 4185990, 8375969, 16757976, 33525165, 67064346, 134149981, 268332404, 536714129, 1073503278, 2147120761
Offset: 0

Views

Author

Paul Barry, Sep 05 2006

Keywords

Comments

Diagonal sums of number triangle A122438. Convolution of A052947 and 2^n.

Programs

  • Mathematica
    CoefficientList[Series[1/(1 - 2x - x^2 + 4x^4), {x, 0, 31}], x] (* Robert G. Wilson v, Sep 14 2006 *)
    LinearRecurrence[{2,1,0,-4},{1,2,5,12},40] (* Harvey P. Dale, Jul 30 2024 *)

Extensions

More terms from Robert G. Wilson v, Sep 14 2006
Showing 1-2 of 2 results.