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 1-6 of 6 results.

A238251 Number of (n+1)X(4+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

286, 2818, 43456, 523578, 6683137, 65450601, 640472606, 5080416791, 40066932588, 267891545518, 1781590953402, 10371478598345, 60084341166190, 311815187891138, 1610762741432521, 7583058204030841, 35540971632237331
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 4 of A238255

Examples

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

A238249 Number of (n+1)X(2+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

44, 180, 804, 2818, 9991, 29995, 90225, 241945, 649320, 1605951, 3974215, 9269399, 21628177, 48322967, 107991481, 233776405, 506133563, 1070574873, 2264593031, 4710021487, 9796211590, 20129009598, 41359935334, 84255978136, 171637137305
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 2 of A238255

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) +16*a(n-2) -82*a(n-3) -99*a(n-4) +774*a(n-5) +196*a(n-6) -4456*a(n-7) +1106*a(n-8) +17464*a(n-9) -10080*a(n-10) -49212*a(n-11) +40922*a(n-12) +102532*a(n-13) -108728*a(n-14) -159592*a(n-15) +207747*a(n-16) +184428*a(n-17) -296048*a(n-18) -153442*a(n-19) +318857*a(n-20) +83878*a(n-21) -259308*a(n-22) -19872*a(n-23) +157052*a(n-24) -10232*a(n-25) -68768*a(n-26) +12128*a(n-27) +20592*a(n-28) -5472*a(n-29) -3776*a(n-30) +1280*a(n-31) +320*a(n-32) -128*a(n-33)

A238250 Number of (n+1)X(3+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

121, 804, 6828, 43456, 284992, 1473792, 7616082, 32986844, 142361644, 537301496, 2020791427, 6843417893, 23099713493, 71683038307, 221767602558, 640525984280, 1844757869502, 5018918602972, 13619020527533, 35234899933725
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 3 of A238255

Examples

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

Formula

Empirical recurrence of order 81 (see link above)

A238252 Number of (n+1)X(5+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

676, 9991, 284992, 6683137, 171041320, 3320993180, 64353451945, 992794904591, 15160526139045, 192941078342371, 2433696873065044, 26454369332527825, 285456371748779982, 2719536243017821050, 25745538460612968692
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 5 of A238255

Examples

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

A238253 Number of (n+1)X(6+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

1482, 29995, 1473792, 65450601, 3320993180, 128727296869, 5017308028639, 154350327958339, 4704917436206270, 118251124084419007, 2946366157111042290, 62617673607295964138, 1321308517824396221455, 24384005345308756975149
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 6 of A238255

Examples

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

A238254 Number of (n+1)X(7+1) 0..1 arrays with 2X2 subblock sums lexicographically nondecreasing columnwise and rowwise.

Original entry on oeis.org

3249, 90225, 7616082, 640472606, 64353451945, 5017308028639, 395035485087390, 24520763755992781, 1504227932142140703, 75758809125961889230
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2014

Keywords

Comments

Column 7 of A238255

Examples

			Some solutions for n=2
..1..0..1..0..1..0..0..0....0..0..0..1..1..1..0..0....0..0..0..0..0..0..1..1
..0..0..0..0..0..1..1..1....1..0..1..0..0..0..1..1....0..0..0..1..1..1..1..1
..1..0..1..0..1..0..1..0....0..1..0..1..1..1..1..1....1..0..1..0..0..1..1..0
		
Showing 1-6 of 6 results.