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.

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A250775 Number of (7+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

576, 1026, 1622, 2396, 3412, 4798, 6810, 9960, 15272, 24794, 42622, 76948, 144156, 277014, 541058, 1067360, 2118064, 4217458, 8414118, 16805196, 33584996, 67142126, 134253802, 268474456, 536912952, 1073787018, 2147532110, 4295019140
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Examples

			Some solutions for n=4:
..0..0..1..0..0....1..1..1..1..0....0..0..0..0..0....1..1..1..0..0
..0..0..1..0..0....1..1..1..1..0....0..0..0..0..0....1..1..1..1..1
..0..0..1..0..0....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
..0..0..1..0..0....0..0..0..0..0....1..1..1..1..1....0..0..0..0..0
..0..0..1..0..0....1..1..1..1..1....1..1..1..1..1....1..1..1..1..1
..0..0..1..0..0....1..1..1..1..1....0..0..0..0..0....1..1..1..1..1
..0..0..1..0..0....1..1..1..1..1....0..0..0..0..1....1..1..1..1..1
..0..0..1..0..1....1..1..1..1..1....0..0..0..0..1....0..0..0..0..0

Links

Crossrefs

Row 7 of A250769.

Formula

Empirical: a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4); a(n) = 32*2^(n-1) + 57*n^2 + 247*n + 240.
Empirical g.f.: 2*x*(288 - 927*x + 838*x^2 - 256*x^3) / ((1 - x)^3*(1 - 2*x)). - Colin Barker, Nov 19 2018

A250763 Number of (n+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

9, 34, 114, 350, 996, 2666, 6810, 16798, 40368, 95114, 220710, 505982, 1148556, 2585674, 5779890, 12840638, 28371816, 62384042
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Comments

Diagonal of A250769

Examples

			Some solutions for n=4
..1..0..0..0..0....1..0..0..0..0....1..1..0..0..0....1..1..1..0..0
..1..0..0..0..0....1..1..1..1..1....1..1..0..0..1....1..1..1..0..0
..1..0..0..0..0....0..0..0..0..0....1..1..0..0..1....1..1..1..0..0
..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0
..1..0..0..0..1....0..0..0..0..1....1..1..0..0..1....1..1..1..0..0
Previous Showing 11-12 of 12 results.

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