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 1-10 of 12 results. Next

A241351 Number of n X 3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

4, 9, 19, 55, 72, 124, 243, 370, 695, 956, 1417, 2469, 3404, 5728, 8713, 12387, 19273, 29598, 44909, 73642, 107481, 163546, 255220, 378761, 599088, 925233, 1374249, 2146719, 3251091, 4948266, 7795540, 11712323, 17982730, 27767716, 41826534
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Column 3 of A241356.

Examples

			Some solutions for n=4
..3..2..2....3..2..2....3..2..3....2..3..3....3..2..2....3..2..3....3..2..3
..3..1..2....3..1..2....3..1..1....2..1..1....3..1..1....3..1..2....3..2..2
..2..3..3....2..3..2....2..3..3....3..2..2....2..3..3....2..3..3....2..3..3
..3..1..2....2..1..1....3..0..2....2..1..2....3..0..1....2..1..2....3..1..2
		

Crossrefs

Cf. A241356.

Formula

Empirical: a(n) = 3*a(n-5) +4*a(n-6) +5*a(n-8) +2*a(n-9) +16*a(n-11) +3*a(n-13) +6*a(n-14) -10*a(n-15) -22*a(n-16) -2*a(n-17) -13*a(n-18) +26*a(n-19) -18*a(n-20) +18*a(n-21) -49*a(n-22) -2*a(n-23) -21*a(n-24) +18*a(n-25) +22*a(n-26) +61*a(n-27) -62*a(n-28) -13*a(n-29) -102*a(n-30) -32*a(n-31) +71*a(n-32) +43*a(n-33) +30*a(n-34) +53*a(n-35) -34*a(n-36) -204*a(n-37) +137*a(n-38) -22*a(n-39) +80*a(n-40) +108*a(n-41) +118*a(n-42) -242*a(n-43) +150*a(n-44) -100*a(n-45) +49*a(n-46) -3*a(n-47) +176*a(n-48) -162*a(n-49) +87*a(n-50) -118*a(n-51) +40*a(n-52) -89*a(n-53) +74*a(n-54) -11*a(n-55) +4*a(n-56) -65*a(n-57) +62*a(n-58) -91*a(n-59) +20*a(n-60) -22*a(n-61) +38*a(n-62) -20*a(n-63) +21*a(n-64) -19*a(n-65) +7*a(n-66) -5*a(n-67) +2*a(n-68) for n>85.

A241352 Number of n X 4 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

6, 17, 51, 128, 248, 624, 1323, 2715, 5798, 11469, 22610, 44855, 88994, 180577, 367607, 733516, 1503885, 3019433, 6043861, 12320601, 24650945, 49784403, 100845525, 202178447, 409323604, 825183533, 1660318484, 3359379163
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Column 4 of A241356.

Examples

			Some solutions for n=4
..3..2..3..3....2..3..3..2....2..3..3..3....3..2..3..3....3..2..3..3
..3..1..2..1....2..1..1..2....2..1..2..3....3..2..2..1....3..1..2..1
..2..3..3..3....2..0..3..2....3..0..1..1....2..3..3..3....2..3..0..2
..2..1..2..2....2..0..1..2....2..3..0..2....3..2..2..2....3..0..0..2
		

Crossrefs

Cf. A241356.

A241353 Number of nX5 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

8, 23, 61, 228, 615, 2062, 6380, 17325, 60671, 174659, 522051, 1719745, 4845006, 15397618, 47028894, 137168570, 438587280, 1296963342, 3957057163, 12275537070, 36363799509, 112893614704, 341992697428, 1031840527097, 3186583756827
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Column 5 of A241356

Examples

			Some solutions for n=4
..3..2..3..3..2....3..2..3..2..3....2..3..3..3..2....3..2..3..3..2
..3..1..2..3..2....3..1..1..2..2....2..1..1..3..1....3..1..1..3..1
..2..3..0..0..2....2..1..2..3..3....3..2..2..0..1....2..1..0..2..2
..3..0..0..0..2....3..0..0..2..2....3..2..2..0..2....3..0..2..3..3
		

A241357 Number of 2Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

3, 3, 9, 17, 23, 53, 103, 160, 344, 643, 1059, 2196, 4039, 6930, 13970, 25512, 45059, 88830, 161841, 291573, 565051, 1029968, 1879844, 3596548, 6568902, 12087395, 22908471, 41950860, 77573588, 146021963, 268115989, 497179651, 931373038
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Row 2 of A241356

Examples

			Some solutions for n=4
..2..3..3..2....2..3..3..2....2..3..3..3....3..2..3..3....3..2..3..3
..2..1..1..1....2..1..1..2....2..1..2..3....3..1..1..3....3..2..2..1
		

Formula

Empirical: a(n) = a(n-2) +8*a(n-3) -5*a(n-5) -18*a(n-6) +a(n-7) +10*a(n-8) +16*a(n-9) -5*a(n-10) -10*a(n-11) +a(n-12) +6*a(n-13) -2*a(n-14) -6*a(n-15) -a(n-16) +6*a(n-17) for n>20

A241358 Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

4, 3, 19, 51, 61, 230, 641, 960, 3746, 9339, 16659, 60981, 137870, 288484, 962239, 2106198, 4825844, 14944563, 32681302, 79714689, 232184355, 513198469, 1304385350, 3611732771, 8129991862, 21132067461, 56282787035, 129448737499
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Row 3 of A241356.

Examples

			Some solutions for n=4
..3..2..3..3....3..2..3..3....2..3..2..2....3..2..3..3....3..2..3..3
..3..1..1..3....3..1..1..2....2..1..1..2....3..1..2..1....3..1..1..3
..2..3..0..2....2..3..3..1....2..0..1..2....2..3..3..2....2..1..0..1
		

Crossrefs

Cf. A241356.

A241359 Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

7, 4, 55, 128, 228, 1721, 5663, 11909, 69946, 220363, 570699, 2878602, 8802473, 26886516, 121529632, 369658890, 1215513262, 5099671734, 15392472866, 53972192998, 212784319669, 651213834921, 2381746719520, 8889638737979
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Row 4 of A241356

Examples

			Some solutions for n=4
..3..2..3..3....3..2..3..3....2..3..3..3....2..3..3..2....3..2..3..3
..3..1..2..3....3..1..2..1....2..1..1..1....2..1..1..1....3..1..1..3
..2..3..0..2....2..3..3..3....3..2..3..2....3..2..3..3....2..1..0..2
..3..1..1..2....3..2..0..2....3..1..3..1....3..2..2..1....2..0..0..3
		

A241360 Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

10, 5, 72, 248, 615, 6307, 32942, 81541, 704210, 3476469, 11349940, 90956040, 405390982, 1664167193, 11617319555, 51776391555, 233086670659, 1464941282986, 6456205310547, 31519467099790, 186686429025271, 825627186605085
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Row 5 of A241356

Examples

			Some solutions for n=4
..3..2..3..3....3..2..3..3....3..2..3..3....3..2..3..3....3..2..3..3
..3..1..1..3....3..1..2..3....3..1..1..3....3..1..1..3....3..1..1..3
..2..1..0..2....2..3..0..2....2..1..0..1....2..1..0..2....2..1..0..1
..3..2..0..3....3..1..1..3....3..2..0..2....3..2..3..2....3..2..3..3
..2..1..2..2....3..1..2..1....3..2..0..3....3..2..3..2....3..2..2..1
		

A241350 Number of n X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

2, 3, 19, 128, 615, 35880, 1904754, 109041097
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Diagonal of A241356

Examples

			Some solutions for n=4
..3..2..3..3....2..3..3..2....2..3..2..2....2..3..3..2....3..2..3..3
..3..1..2..3....2..1..1..2....2..1..1..2....2..1..1..1....3..2..2..1
..2..3..0..2....2..0..3..2....2..0..3..3....3..2..3..3....2..3..3..2
..3..0..1..3....2..0..1..2....2..0..0..1....3..2..2..2....3..2..0..2
		

A241354 Number of nX6 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

14, 53, 230, 1721, 6307, 35880, 183400, 763750, 4110488, 18352240, 83810292, 417928329, 1791097147, 8714733830, 40609374842, 179584055937
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Column 6 of A241356

Examples

			Some solutions for n=4
..2..3..3..2..3..3....3..2..3..3..2..2....2..3..3..2..3..2....3..2..3..2..3..3
..2..1..1..1..2..1....3..1..2..1..1..2....2..1..1..2..1..2....3..1..1..2..1..1
..3..2..2..2..0..2....2..3..0..0..3..3....3..2..2..2..0..2....2..1..2..3..3..2
..3..1..2..3..0..2....2..1..0..0..2..3....3..1..2..1..0..1....3..2..0..2..1..2
		

A241355 Number of nX7 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

Original entry on oeis.org

20, 103, 641, 5663, 32942, 247664, 1904754, 12340892, 104529676, 729080777, 5436001228, 44321599723
Offset: 1

Views

Author

R. H. Hardin, Apr 20 2014

Keywords

Comments

Column 7 of A241356

Examples

			Some solutions for n=3
..2..3..3..3..2..3..3....2..3..3..2..3..3..2....3..2..3..3..2..3..3
..2..1..1..1..2..2..2....2..1..1..2..1..1..1....3..1..2..1..2..2..1
..3..2..2..0..0..1..3....3..2..3..2..0..3..3....2..3..0..2..0..0..2
		
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