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.

A185624 Triangle, read by rows, equal to the matrix square of triangle A185620.

Original entry on oeis.org

1, 2, 1, 3, 2, 1, 6, 7, 2, 1, 18, 28, 11, 2, 1, 79, 142, 66, 15, 2, 1, 463, 913, 470, 120, 19, 2, 1, 3396, 7244, 3997, 1098, 190, 23, 2, 1, 30073, 69004, 40079, 11587, 2122, 276, 27, 2, 1, 314037, 771359, 466448, 140092, 26707, 3638, 378, 31, 2, 1, 3796561, 9933242, 6208551, 1921122
Offset: 0

Views

Author

Paul D. Hanna, Sep 07 2011

Keywords

Examples

			 Triangle begins:
1;
2, 1;
3, 2, 1;
6, 7, 2, 1;
18, 28, 11, 2, 1;
79, 142, 66, 15, 2, 1;
463, 913, 470, 120, 19, 2, 1;
3396, 7244, 3997, 1098, 190, 23, 2, 1;
30073, 69004, 40079, 11587, 2122, 276, 27, 2, 1;
314037, 771359, 466448, 140092, 26707, 3638, 378, 31, 2, 1;
3796561, 9933242, 6208551, 1921122, 377495, 53149, 5742, 496, 35, 2, 1; ...
This triangle equals the matrix square, R^2, of triangle R = A185620, which begins:
1;
1, 1;
1, 1, 1;
1, 3, 1, 1;
1, 10, 5, 1, 1;
1, 42, 27, 7, 1, 1;
1, 226, 173, 52, 9, 1, 1;
1, 1525, 1330, 442, 85, 11, 1, 1;
1, 12555, 12134, 4345, 897, 126, 13, 1, 1; ...
where R^3 - R^2 + I equals R shifted left one column.
		

Crossrefs

A185625 Column 0 of triangle A185624; also, equals row sums of triangle A185620.

Original entry on oeis.org

1, 2, 3, 6, 18, 79, 463, 3396, 30073, 314037, 3796561, 52332869, 812013163, 14029926801, 267461387125, 5581705418715, 126657160962835, 3106644875467396, 81943115662983569, 2313753122033185373, 69654973411269008826, 2227679407193350385775
Offset: 0

Views

Author

Paul D. Hanna, Sep 07 2011

Keywords

Comments

Triangle A185624 equals the matrix square of triangle R = A185620, which satisfies: R^3 - R^2 + I = R shifted left one column.

Crossrefs

A185627 Column 2 of triangle A185624.

Original entry on oeis.org

1, 2, 11, 66, 470, 3997, 40079, 466448, 6208551, 93297013, 1565360082, 29047075343, 591275224311, 13110484254998, 314726620750589, 8135993235767295, 225426087495479680, 6666553071325468948, 209645759506867904384, 6987310422457948266944, 246075579251657940919613
Offset: 0

Views

Author

Paul D. Hanna, Sep 07 2011

Keywords

Comments

Triangle A185624 equals the matrix square of triangle R = A185620, which satisfies: R^3 - R^2 + I = R shifted left one column.

Crossrefs

Showing 1-3 of 3 results.