A262844
Number of (n+2) X (2+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
6, 34, 132, 396, 1264, 3962, 11886, 35914, 108556, 325668, 976552, 2931922, 8795766, 26370674, 79104084, 237312252, 711756448, 2135076202, 6405228606, 19214238554, 57640739420, 172922218260, 518757049560, 1556255741762, 4668767225286
Offset: 1
Some solutions for n=4
..1..1..1..0....1..1..1..0....1..1..1..0....0..0..0..0....0..0..0..0
..0..1..1..1....0..0..0..0....1..1..1..0....0..0..0..0....0..0..0..0
..0..1..1..1....0..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0
..1..1..1..0....1..1..1..0....0..1..1..1....1..1..1..0....1..1..1..0
..0..0..0..0....1..1..1..0....0..0..0..0....0..1..1..1....0..0..0..0
..0..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0....0..1..1..1
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v = Select[Tuples[{0, 1}, 4], Mod[FromDigits[#, 2], 7] == 0 &];
a[n_] := a[n] = Length[Select[Tuples[v, n + 2], !AnyTrue[Transpose[#], Mod[FromDigits[#, 2], 7] == 0 &] &]];
Table[a[n], {n, 1, 10}] (* Robert P. P. McKone, Jun 09 2024 *)
A262845
Number of (n+2)X(3+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
12, 196, 1336, 5184, 31512, 175820, 793812, 4140908, 21744992, 104726376, 525986400, 2691397140, 13304013852, 66260714708, 334758471368, 1670112463824, 8315216847336, 41755671803804, 208872540829092, 1041336962146684
Offset: 1
Some solutions for n=4
..0..0..1..1..1....0..0..1..1..1....0..1..1..1..0....0..0..0..0..0
..0..0..1..1..1....1..0..1..0..1....0..0..0..0..0....0..0..0..0..0
..0..1..1..1..0....0..0..0..0..0....1..1..1..0..0....1..0..1..0..1
..1..1..1..0..0....0..0..0..0..0....0..1..1..1..0....1..0..1..0..1
..0..0..0..0..0....1..0..1..0..1....1..0..1..0..1....0..1..1..1..0
..0..1..1..1..0....0..1..1..1..0....0..0..0..0..0....0..0..1..1..1
A262846
Number of (n+2)X(4+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
318, 3181, 37635, 420654, 3896365, 39348387, 417279054, 3999504445, 39913429587, 409857534030, 4017392736541, 40104536998707, 405732145282158, 4021339824862381, 40178930760566115, 403823141865184494
Offset: 1
Some solutions for n=3
..0..1..1..1..0..0....1..1..1..0..0..0....1..0..0..0..1..1....0..0..0..0..0..0
..1..0..0..0..1..1....0..0..0..1..1..1....1..0..1..0..1..0....1..0..0..0..1..1
..1..1..1..1..1..1....0..0..0..0..0..0....1..1..0..0..0..1....0..1..1..1..0..0
..0..1..0..1..0..1....0..0..1..1..1..0....1..0..0..0..1..1....0..1..0..1..0..1
..1..1..0..0..0..1....0..0..0..0..0..0....0..1..1..1..0..0....1..0..1..0..1..0
A262847
Number of (n+2)X(5+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
900, 31050, 771084, 14762016, 290338650, 5692555116, 108936025308, 2071613294466, 39520865526156, 752512142640600, 14283775460054754, 271538648699660460, 5162251935414132180, 98038344198110173098
Offset: 1
Some solutions for n=2
..1..0..1..0..1..0..0....1..1..0..0..0..1..0....0..1..1..1..1..1..1
..1..0..1..1..0..1..1....0..0..0..0..0..0..0....0..1..1..1..1..1..1
..1..1..0..1..0..0..1....1..1..1..0..1..1..1....1..1..1..0..1..1..1
..1..0..1..0..1..0..0....1..0..0..1..1..0..1....1..1..1..0..1..1..1
A262850
Number of (1+2)X(n+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
6, 6, 12, 318, 900, 4536, 34782, 178926, 1042284, 6538206, 38160540, 227814120, 1377960126, 8227422006, 49321272972, 296370593598, 1776644188020, 10658199015576, 63967089528222, 383739633130686, 2302372435469484
Offset: 1
Some solutions for n=4
..1..0..1..0..1..0....1..1..1..0..0..0....1..0..1..0..1..0....0..1..0..1..0..1
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..1..0..1....0..0..0..0..0..0
..1..1..1..1..1..1....0..0..0..1..1..1....0..1..1..1..0..0....1..1..1..1..1..1
A262851
Number of (2+2)X(n+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
13, 34, 196, 3181, 31050, 352880, 4679725, 58693450, 749598500, 9769811821, 126477115922, 1640601801744, 21334300812253, 277222463778754, 3602979823609668, 46840315814579821, 608897998235183514
Offset: 1
Some solutions for n=4
..1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..0..0....0..1..1..1..0..0
..1..0..1..0..1..0....0..1..0..1..0..1....0..0..0..1..1..1....0..0..0..0..0..0
..1..0..1..0..1..0....0..0..0..1..1..1....1..1..0..0..0..1....1..1..0..0..0..1
..1..0..1..0..1..0....0..1..0..1..0..1....0..1..1..1..0..0....1..1..1..1..1..1
A262852
Number of (3+2)X(n+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
27, 132, 1336, 37635, 771084, 17912392, 481968171, 12572589132, 333224229896, 8994193541379, 241857613967412, 6515666351143848, 175918432063803627, 4747650731553770292, 128153708240382030872, 3460143599773663664643
Offset: 1
Some solutions for n=4
..1..1..1..1..1..1....1..1..0..0..0..1....0..0..0..1..1..1....0..1..0..1..0..1
..0..0..0..1..1..1....0..0..1..1..1..0....1..1..0..0..0..1....1..1..1..0..0..0
..0..0..0..1..1..1....0..0..0..0..0..0....1..1..0..0..0..1....1..0..1..0..1..0
..0..1..1..1..0..0....1..0..1..0..1..0....1..0..0..0..1..1....0..0..0..0..0..0
..0..0..0..1..1..1....0..0..0..0..0..0....1..1..1..0..0..0....1..1..1..1..1..1
A262853
Number of (4+2)X(n+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
54, 396, 5184, 420654, 14762016, 661066920, 35819485902, 1848763876932, 97674093333720, 5273363053187598, 283250082728896200, 15255186777350855280, 823762481842229569614, 44454274055540034471036, 2399751878355335217728304
Offset: 1
Some solutions for n=3
..1..1..1..0..0....0..0..1..1..1....0..1..1..1..0....0..0..1..1..1
..0..0..1..1..1....0..0..0..0..0....1..1..1..0..0....1..0..1..0..1
..0..0..1..1..1....0..0..1..1..1....0..0..0..0..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..0..0....0..1..1..1..0....0..0..1..1..1
..0..1..1..1..0....1..1..1..0..0....0..0..1..1..1....0..1..1..1..0
..0..0..1..1..1....1..1..1..0..0....1..0..1..0..1....0..1..1..1..0
A262848
Number of (n+2)X(6+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
4536, 352880, 17912392, 661066920, 26232879096, 1007501698644, 37291148287704, 1391736921064152
Offset: 1
Some solutions for n=1
..1..1..0..1..1..0..0..1....1..0..0..1..1..0..1..0....0..0..1..0..1..0..1..0
..0..0..0..0..1..1..1..0....0..0..0..0..0..0..0..0....1..1..1..1..0..1..0..1
..0..1..1..1..0..0..0..0....1..1..1..1..0..1..0..1....1..0..0..0..1..1..0..0
A262854
Number of (5+2)X(n+2) 0..1 arrays with each row divisible by 7 and column not divisible by 7, read as a binary number with top and left being the most significant bits.
Original entry on oeis.org
109, 1264, 31512, 3896365, 290338650, 26232879096, 2864161217701, 297481646988280
Offset: 1
Some solutions for n=3
..1..0..1..0..1....1..0..1..0..1....1..1..1..0..0....0..0..1..1..1
..0..0..0..0..0....0..1..1..1..0....1..0..1..0..1....0..0..0..0..0
..1..1..1..0..0....1..0..1..0..1....0..1..1..1..0....1..1..1..0..0
..1..1..1..0..0....1..0..1..0..1....1..0..1..0..1....1..1..1..0..0
..0..1..1..1..0....1..1..1..0..0....1..0..1..0..1....1..1..1..0..0
..0..0..0..0..0....1..0..1..0..1....1..0..1..0..1....0..0..0..0..0
..1..1..1..0..0....1..1..1..0..0....1..1..1..0..0....1..1..1..0..0
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