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 1-7 of 7 results.

A254451 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

3036, 26380, 196684, 1279568, 8004340, 48345120, 289945200, 1735438880, 10399188560, 62416180384, 375009286716, 2254540612636, 13558023603848, 81542178909476, 490442432067776, 2949842103362336, 17742389731217108
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 2 of A254457

Examples

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

Formula

Empirical: a(n) = 9*a(n-1) -14*a(n-2) -44*a(n-3) +135*a(n-4) -59*a(n-5) -261*a(n-6) +1059*a(n-7) -122*a(n-8) -14896*a(n-9) +36367*a(n-10) -18563*a(n-11) -33563*a(n-12) +47849*a(n-13) -4574*a(n-14) -5864*a(n-15) -66679*a(n-16) +97131*a(n-17) -7175*a(n-18) -81255*a(n-19) +42242*a(n-20) +47504*a(n-21) -23099*a(n-22) -135393*a(n-23) +262392*a(n-24) -181030*a(n-25) -7740*a(n-26) +75060*a(n-27) +21756*a(n-28) +42676*a(n-29) -404560*a(n-30) +536056*a(n-31) -182368*a(n-32) -227200*a(n-33) +191776*a(n-34) -7296*a(n-35) +220032*a(n-36) -449664*a(n-37) +242688*a(n-38) +158208*a(n-39) -242176*a(n-40) +54272*a(n-41) -36864*a(n-42) +126976*a(n-43) -90112*a(n-44) -32768*a(n-45) +81920*a(n-46) -32768*a(n-47) for n>61

A254452 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

16240, 196684, 2085712, 19716320, 180449544, 1621936236, 14531913928, 129887483092, 1161335601368, 10386990863516, 92949534517728, 831971480294236, 7447848925974544, 66677163384618652, 596944337713575200
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 3 of A254457

Examples

			Some solutions for n=2
..0..1..1..1..0....0..0..1..0..1....0..1..0..1..0....1..1..1..1..0
..1..1..0..1..0....1..1..1..1..1....0..0..1..1..0....0..0..1..1..1
..0..1..0..0..1....1..1..1..0..0....1..0..0..0..0....1..1..0..0..0
..0..0..1..0..1....0..0..1..0..1....1..0..1..1..0....1..0..0..1..1
		

Formula

Empirical recurrence of order 73 (see link above)

A254450 Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

512, 26380, 2085712, 275772848, 71814202464, 37859718002056, 41728495959588032, 96370792918403418032, 471658574277826549969856, 4899488261874299641047185592, 107824890536438862557050692197760
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Diagonal of A254457

Examples

			Some solutions for n=2
..0..1..0..0....0..0..0..0....1..0..1..0....1..1..1..1....0..0..1..1
..1..1..1..0....0..1..1..1....0..1..0..1....0..0..1..1....0..1..1..1
..0..0..0..0....1..1..0..1....0..0..0..0....1..1..1..0....1..1..1..1
..0..1..1..1....1..0..1..1....0..1..0..0....1..0..1..1....0..0..0..0
		

A254453 Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

76832, 1279568, 19716320, 275772848, 3694478768, 48236381800, 623402653056, 8027022727640, 103264924928344, 1328657798616824, 17098462225957872, 220073014797498536, 2832785034766355768, 36465171455788005608
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 4 of A254457

Examples

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

A254454 Number of (n+2)X(5+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

348032, 8004340, 180449544, 3694478768, 71814202464, 1361600709160, 25559706957728, 477527208118064, 8914309947159936, 166394248745025720, 3106150000937339496, 57987156539044753960, 1082578576823679598584
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 5 of A254457

Examples

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

A254455 Number of (n+2)X(6+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

1511152, 48345120, 1621936236, 48236381800, 1361600709160, 37859718002056, 1041397026476012, 28507415268662616, 779944689953699120, 21337775023347609896, 583732130351416160872, 15969189842148957483904
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 6 of A254457

Examples

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

A254456 Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically.

Original entry on oeis.org

6440848, 289945200, 14531913928, 623402653056, 25559706957728, 1041397026476012, 41728495959588032, 1663022535691018136, 66242299786253394624, 2638365158866570322184, 105052207003477821889696
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2015

Keywords

Comments

Column 7 of A254457

Examples

			Some solutions for n=1
..0..0..0..0..1..0..1..1..0....0..0..0..0..0..0..0..0..0
..0..0..1..1..0..1..0..0..0....1..1..0..0..0..0..1..0..1
..0..1..0..1..1..0..0..0..0....1..1..1..0..0..0..1..1..1
		
Showing 1-7 of 7 results.