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 1-5 of 5 results.

A196310 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

5, 17, 50, 335, 866, 2942, 13277, 56237, 228881, 862148, 3323631, 13251496, 53662892, 215087507, 848846709, 3350015319, 13308176712, 53085757815, 211514954392, 840367835992, 3336205123509, 13258112907409, 52741016443951
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Column 4 of A196314

Examples

			Some solutions for n=5
..1..1..0..1....0..1..1..0....1..0..0..1....1..1..0..1....0..1..1..0
..0..1..1..1....0..1..1..0....1..3..1..1....0..1..1..1....0..3..1..0
..0..1..1..0....0..3..1..0....0..1..1..0....0..1..3..0....1..1..1..1
..0..1..3..0....0..1..3..1....0..1..3..0....0..1..1..0....1..0..0..1
..1..3..1..0....1..1..0..1....0..1..1..0....1..3..1..0....1..0..0..1

Links

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) -2*a(n-3) +29*a(n-4) +44*a(n-5) -365*a(n-6) -563*a(n-7) -486*a(n-8) +18*a(n-9) +424*a(n-10) -8576*a(n-11) +29598*a(n-12) +95820*a(n-13) +200698*a(n-14) +364105*a(n-15) +598354*a(n-16) -292736*a(n-17) -2334999*a(n-18) -6081591*a(n-19) -14964178*a(n-20) -11648855*a(n-21) -17466704*a(n-22) -25028551*a(n-23) +14094341*a(n-24) +14352761*a(n-25) +579801*a(n-26) -1186235*a(n-27) -1593062*a(n-28) -225384*a(n-29) +3130755*a(n-30) +1386124*a(n-31) -405424*a(n-32) -609745*a(n-33) -394802*a(n-34) +8031*a(n-35) +36199*a(n-36) +2246*a(n-37) +2252*a(n-38) +720*a(n-39)

A196311 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

8, 34, 111, 866, 3349, 21545, 132202, 626170, 3119098, 18588893, 109247680, 581746205, 3045137702, 17018115620, 96581654323, 529545856166, 2858809327649, 15727308156830, 87667270415711, 483842000666953, 2645294630253350
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Column 5 of A196314

Examples

			Some solutions for n=4
..1..1..3..1..0....0..0..0..1..1....0..0..0..0..0....1..1..3..1..0
..0..0..1..1..0....1..3..1..3..0....1..1..3..1..1....0..0..1..3..1
..0..0..3..1..0....3..1..1..1..1....3..1..1..1..1....0..0..1..3..1
..0..0..1..3..1....1..0..0..0..1....1..0..0..0..0....0..0..1..1..0

Links

A196312 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

12, 62, 259, 2942, 21545, 184217, 1194982, 9309294, 76576666, 617482227, 4520470356, 35071987037, 281347126481, 2193120418518, 16895912065602, 132648798659236, 1049969901513751, 8187565496126876, 63706244150000189
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Column 6 of A196314

Examples

			Some solutions for n=4
..0..1..1..0..0..1....1..0..0..1..1..0....0..0..0..0..0..1....0..0..1..1..0..0
..1..1..3..1..1..1....1..0..0..1..1..0....1..3..1..1..3..1....0..0..1..3..0..0
..1..0..0..3..1..0....1..3..1..1..1..1....1..1..3..1..1..0....0..0..1..1..0..0
..1..0..0..1..3..1....0..1..1..0..0..1....0..0..0..0..1..1....0..0..1..3..1..1

Links

A196313 Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

17, 123, 728, 13277, 132202, 1194982, 11575179, 157085533, 1846682222, 18830197948, 204138811128, 2267817750300, 25185129693320, 280519702209453, 3182410412743494, 35203253665728279, 385376356755364192
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Column 7 of A196314

Examples

			Some solutions for n=4
..0..0..1..1..1..1..0....0..1..3..1..3..1..0....1..1..0..0..0..0..0
..1..1..1..0..0..3..1....0..1..1..0..1..1..1....0..3..1..1..3..1..1
..1..1..1..3..1..1..3....0..1..3..1..3..0..1....0..1..1..1..1..1..1
..0..0..0..1..1..0..1....1..1..0..1..1..0..1....1..1..0..0..0..0..0

Links

A196309 Number of n X n 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,0,4,1,3 for x=0,1,2,3,4.

Original entry on oeis.org

1, 5, 7, 335, 3349, 184217, 11575179, 2915102103, 766706823953, 662820784405591
Offset: 1

Views

Author

R. H. Hardin Oct 01 2011

Keywords

Comments

Every 0 is next to 0 2's, every 1 is next to 1 0's, every 2 is next to 2 4's, every 3 is next to 3 1's, every 4 is next to 4 3's
Diagonal of A196314

Examples

			Some solutions for n=4
..0..0..1..1....1..1..0..0....0..1..1..0....0..1..1..0....1..1..0..1
..1..3..1..0....0..3..1..1....1..3..3..1....0..1..1..0....0..1..3..1
..1..1..1..0....0..1..1..3....3..1..1..1....1..1..1..1....0..3..1..0
..0..0..1..1....1..1..0..1....1..0..0..0....1..0..0..1....0..1..3..1
Showing 1-5 of 5 results.

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

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