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 1-9 of 9 results.

A303321 Number of nX4 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 1, 2, 4, 3, 3, 10, 9, 10, 19, 29, 40, 65, 96, 148, 238, 356, 573, 865, 1381, 2136, 3369, 5245, 8248, 12925, 20251, 31889, 49995, 78599, 123579, 194464, 305630, 481471, 757704, 1193056, 1879551, 2961524, 4666170, 7355683, 11597513, 18284922
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Column 4 of A303325.

Examples

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

Crossrefs

Cf. A303325.

Formula

Empirical: a(n) = 2*a(n-2) +4*a(n-3) +2*a(n-4) -3*a(n-5) -6*a(n-6) -10*a(n-7) -16*a(n-8) -9*a(n-9) +11*a(n-10) +35*a(n-11) +39*a(n-12) +30*a(n-13) +13*a(n-14) -6*a(n-15) -38*a(n-16) -66*a(n-17) -80*a(n-18) -55*a(n-19) -14*a(n-20) +25*a(n-21) +49*a(n-22) +76*a(n-23) +90*a(n-24) +67*a(n-25) +16*a(n-26) -30*a(n-27) -46*a(n-28) -37*a(n-29) -49*a(n-30) -51*a(n-31) -12*a(n-32) +47*a(n-33) +62*a(n-34) +14*a(n-35) -16*a(n-36) -7*a(n-37) -8*a(n-38) -35*a(n-39) -48*a(n-40) -18*a(n-41) +19*a(n-42) +33*a(n-43) +23*a(n-44) +16*a(n-45) +12*a(n-46) +a(n-47) -6*a(n-48) -11*a(n-49) -8*a(n-50) -3*a(n-51) -a(n-52) +2*a(n-53) +a(n-54) +a(n-55) for n>57

A303322 Number of nX5 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 32, 4, 12, 64, 62, 204, 744, 900, 2996, 9564, 14880, 45124, 129796, 240124, 683372, 1837592, 3790988, 10329636, 26707488, 59005404, 155944784, 394374956, 909596688, 2353555396, 5880643036, 13932609908, 35527598224, 88215135628
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Column 5 of A303325.

Examples

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

Crossrefs

Cf. A303325.

Formula

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +20*a(n-3) -44*a(n-4) -36*a(n-5) -124*a(n-6) +282*a(n-7) +212*a(n-8) +259*a(n-9) -333*a(n-10) -510*a(n-11) -408*a(n-12) -836*a(n-13) +476*a(n-14) +727*a(n-15) -2239*a(n-16) +1520*a(n-17) +5253*a(n-18) -1133*a(n-19) -2582*a(n-20) +3952*a(n-21) +2247*a(n-22) -5936*a(n-23) -2324*a(n-24) +2534*a(n-25) -1666*a(n-26) -1578*a(n-27) +920*a(n-28) +256*a(n-29) -96*a(n-30) +64*a(n-31) +32*a(n-32) +32*a(n-33) for n>35

A303323 Number of nX6 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 32, 1, 10, 25, 56, 136, 531, 1035, 3668, 11020, 29763, 88919, 263974, 759319, 2234940, 6528470, 19011183, 55808342, 163149056, 476147024, 1393878718, 4076631347, 11916304345, 34854245923, 101919861889, 298028780792
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Column 6 of A303325.

Examples

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

Crossrefs

Cf. A303325.

A303324 Number of nX7 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 128, 4, 46, 368, 758, 2956, 15494, 44101, 190416, 843033, 3033091, 12413910, 51530654, 201376755, 814350745, 3304173349, 13195116320, 53237817569, 214790465512, 862745046281, 3476740567795, 14008372152609, 56369700131001
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Column 7 of A303325.

Examples

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

Crossrefs

Cf. A303325.

A303326 Number of 4 X n 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 2, 8, 2, 12, 10, 46, 50, 204, 290, 1034, 1682, 5458, 9802, 29582, 57122, 163166, 332930, 911976, 1940450, 5149146, 11309770, 29300080, 65918162, 167721900, 384199202, 964447184, 2239277042, 5564863708, 13051463050, 32192084054
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Row 4 of A303325.

Examples

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

Crossrefs

Cf. A303325.

Formula

Empirical: a(n) = 2*a(n-1) +9*a(n-2) -16*a(n-3) -25*a(n-4) +34*a(n-5) +15*a(n-6) +4*a(n-7) +34*a(n-8) -64*a(n-9) -42*a(n-10) +20*a(n-11) -7*a(n-12) +34*a(n-13) +21*a(n-14) -8*a(n-15) -a(n-16) -6*a(n-17) -3*a(n-18) for n > 19.

A303327 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 1, 16, 4, 64, 25, 368, 201, 2545, 1855, 21082, 17922, 193932, 178310, 1883444, 1798105, 18748029, 18258149, 188640260, 186011969, 1906833092, 1898120576, 19312818727, 19383847701, 195770541009, 198022534325, 1985235845500
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Row 5 of A303325.

Examples

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

Crossrefs

Cf. A303325.

Formula

Empirical: a(n) = 6*a(n-1) +12*a(n-2) -129*a(n-3) +69*a(n-4) +842*a(n-5) -1297*a(n-6) -839*a(n-7) +3412*a(n-8) -9036*a(n-9) +11871*a(n-10) +17108*a(n-11) -45954*a(n-12) +47570*a(n-13) -53012*a(n-14) -66076*a(n-15) +203444*a(n-16) -165552*a(n-17) +190584*a(n-18) +4296*a(n-19) -282112*a(n-20) +206832*a(n-21) -309856*a(n-22) +208160*a(n-23) -21344*a(n-24) +101312*a(n-25) -1024*a(n-26) +22336*a(n-27) -32256*a(n-28) +2560*a(n-29) -2816*a(n-30) +2816*a(n-31) +1536*a(n-32) +1024*a(n-33) -1024*a(n-34) for n>35

A303328 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 2, 32, 3, 62, 56, 758, 822, 11950, 15100, 206189, 274746, 3594570, 5041350, 62876030, 92540426, 1101675155, 1699317164, 19329361600, 31206291570, 339589941166, 573084618732, 5973973630963, 10524401883764, 105231506356350
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Row 6 of A303325.

Examples

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

Crossrefs

Cf. A303325.

A303329 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 1, 64, 3, 204, 136, 2956, 3929, 69328, 130531, 2005898, 4227664, 61153964, 138433606, 1895471346, 4533018431, 59124000419, 148573817239, 1850543645961, 4870321182842, 58066023583621, 159666967568560, 1825934714066510
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Row 7 of A303325.

Examples

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

Crossrefs

Cf. A303325.

A303320 Number of n X n 0..1 arrays with every element equal to 0, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 2, 4, 2, 64, 56, 2956, 24759, 3531980, 122180446, 68902353881
Offset: 1

Views

Author

R. H. Hardin, Apr 21 2018

Keywords

Comments

Diagonal of A303325.

Examples

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

Crossrefs

Cf. A303325.
Showing 1-9 of 9 results.