A222935 -id:A222935 - cp's OEIS frontend

A222932 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX4 array.

16, 256, 4000, 63488, 1048352, 16777216, 268435456, 4294962688, 68702699520, 1099511601152, 17592186044416, 281474976710656, 4503599627247616, 72057490958712832, 1152921504604356608, 18446744073709551616

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Column 4 of A222935

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Empirical: a(n) = 16*a(n-1) +8352*a(n-5) -133632*a(n-6) -18096384*a(n-10) +289542144*a(n-11) +2753724416*a(n-15) -44059590656*a(n-16) -143077146624*a(n-20) +2289234345984*a(n-21) +2757369004032*a(n-25) -44117904064512*a(n-26) -17592186044416*a(n-30) +281474976710656*a(n-31)

A222933 Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX5 array.

Original entry on oeis.org

24, 1024, 32760, 1047664, 33553920, 1073741824, 34359738368, 1099511627776, 35184372088448, 1125899904556032, 36028797018701824, 1152921504606846976, 36893488147419103232, 1180591620717411303424, 37778931862957161699328

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Column 5 of A222935

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Empirical: a(n) = 32*a(n-1) +2720*a(n-6) -87040*a(n-7) -2580736*a(n-12) +82583552*a(n-13) +1038909440*a(n-18) -33245102080*a(n-19) -194784526336*a(n-24) +6233104842752*a(n-25) +17021492264960*a(n-30) -544687752478720*a(n-31) -692761044975616*a(n-36) +22168353439219712*a(n-37) +11962686510202880*a(n-42) -382805968326492160*a(n-43) -72057594037927936*a(n-48) +2305843009213693952*a(n-49) for n>50

A222936 Sum of neighbor maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array.

Original entry on oeis.org

4, 16, 48, 256, 1024, 4096, 15820, 65536, 262144, 1048576, 4182016, 16777216, 67108864, 268435456, 1073476576, 4294967296, 17179869184, 68719476736, 274872664064, 1099511627776, 4398046511104, 17592186044416, 70368643424320

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Row 2 of A222935

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Empirical: a(n) = 4*a(n-1) +32*a(n-4) -128*a(n-5) -212*a(n-8) +848*a(n-9) -1408*a(n-12) +5632*a(n-13) +10576*a(n-16) -42304*a(n-17) +22016*a(n-20) -88064*a(n-21) -171456*a(n-24) +685824*a(n-25) -149504*a(n-28) +598016*a(n-29) +1181696*a(n-32) -4726784*a(n-33) +458752*a(n-36) -1835008*a(n-37) -3653632*a(n-40) +14614528*a(n-41) -524288*a(n-44) +2097152*a(n-45) +4194304*a(n-48) -16777216*a(n-49)

A222937 Sum of neighbor maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 3Xn array.

Original entry on oeis.org

8, 64, 512, 4000, 32760, 262104, 2097152, 16777216, 134217728, 1073741824, 8589499198, 68719476736, 549755813888, 4398046511104, 35184372088832, 281474975268864, 2251799813683712, 18014398509056000, 144115188075855872

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Row 3 of A222935

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

R. H. Hardin, Table of n, a(n) for n = 1..184

A222934 Sum of neighbor maps: number of nX6 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX6 array.

Original entry on oeis.org

64, 4096, 262104, 16776992, 1073741824, 68719413208, 4398046511104, 281474976710656, 18014398509481984

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Column 6 of A222935

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

A222938 Sum of neighbor maps: number of 4Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 4Xn array.

Original entry on oeis.org

16, 232, 4096, 63488, 1047664, 16776992, 268435456, 4294967296, 68702202624, 1099511627776, 17592186044416, 281474975006720, 4503599620030464, 72057490958712832, 1152921504606846976, 18446744073700638720

Offset: 1

R. H. Hardin Mar 09 2013

nonn

Row 4 of A222935

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

cp's OEIS Frontend

A222932 Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX4 array.

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A222933 Sum of neighbor maps: number of nX5 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX5 array.

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A222936 Sum of neighbor maps: number of 2Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 2Xn array.

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A222937 Sum of neighbor maps: number of 3Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 3Xn array.

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A222934 Sum of neighbor maps: number of nX6 binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nX6 array.

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A222938 Sum of neighbor maps: number of 4Xn binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 4Xn array.

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