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 11 results. Next

A302422 Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 9, 11, 21, 51, 93, 207, 517, 1007, 2333, 5847, 11781, 27055, 66861, 137895, 314197, 766367, 1610429, 3649239, 8799333, 18772687, 42381645, 101181063, 218513269, 492148223, 1164905693, 2540589879, 5713965957, 13425837103, 29512490349
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Column 3 of A302427.

Examples

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

Crossrefs

Cf. A302427.

Formula

Empirical: a(n) = a(n-1) +10*a(n-3) -8*a(n-4) for n>9

A302423 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 17, 21, 42, 148, 362, 879, 2447, 6306, 15905, 42221, 110418, 283913, 742439, 1940186, 5029913, 13102975, 34178122, 88873888, 231355589, 602826384, 1569061436, 4084569987, 10637783556, 27695951899, 72104297278, 187752963431
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Column 4 of A302427.

Examples

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

Crossrefs

Cf. A302427.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +11*a(n-3) -2*a(n-4) -3*a(n-5) -19*a(n-6) -5*a(n-7) -20*a(n-8) -60*a(n-9) -2*a(n-10) +10*a(n-11) +78*a(n-12) +30*a(n-13) +118*a(n-14) +191*a(n-15) +14*a(n-16) -14*a(n-17) -50*a(n-18) -165*a(n-20) -332*a(n-21) -84*a(n-22) -37*a(n-23) -86*a(n-24) -81*a(n-25) +40*a(n-26) +237*a(n-27) +110*a(n-28) +27*a(n-29) +62*a(n-30) +53*a(n-31) +27*a(n-32) -44*a(n-33) -26*a(n-34) -19*a(n-35) -21*a(n-36) -a(n-37) +2*a(n-38) +10*a(n-39) +a(n-40) -a(n-42) for n>43

A302424 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 25, 38, 83, 372, 992, 2503, 7611, 21321, 57872, 165477, 466562, 1295244, 3650383, 10273619, 28731647, 80699298, 226782203, 635782434, 1784439210, 5010891107, 14059108195, 39455529673, 110758862832, 310832105329, 872338548750
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Column 5 of A302427.

Examples

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

Crossrefs

Cf. A302427.

Formula

Empirical: a(n) = a(n-1) +a(n-2) +21*a(n-3) -11*a(n-4) -9*a(n-5) -149*a(n-6) +82*a(n-7) +36*a(n-8) +514*a(n-9) -390*a(n-10) -78*a(n-11) -888*a(n-12) +942*a(n-13) +22*a(n-14) +646*a(n-15) -1008*a(n-16) +68*a(n-17) +48*a(n-18) +368*a(n-19) -288*a(n-21) for n>24

A302425 Number of nX6 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 65, 88, 235, 1359, 4231, 12527, 49454, 179252, 587281, 2082252, 7515919, 25867500, 90085908, 319677011, 1117899288, 3899010020, 13715991402, 48120168332, 168313465520, 590354141418, 2071069227598, 7254935551371
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Column 6 of A302427.

Examples

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

Crossrefs

Cf. A302427.

A302426 Number of nX7 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 185, 188, 532, 4223, 14764, 48037, 227283, 940829, 3489620, 14387459, 59418248, 233645986, 941269019, 3823009297, 15290825815, 61530089164, 248256753643, 996694292892, 4011733223504, 16159420719685, 64946192160119
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Column 7 of A302427.

Examples

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

Crossrefs

Cf. A302427.

A302428 Number of 3 X n 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 11, 21, 38, 88, 188, 377, 735, 1557, 3288, 6781, 13628, 28203, 58716, 121753, 248505, 511788, 1057997, 2191020, 4502367, 9272331, 19120457, 39518063, 81408758, 167766247, 345763679, 713697958, 1471345608, 3033391563, 6252203749
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Row 3 of A302427.

Examples

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

Crossrefs

Cf. A302427.

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +12*a(n-4) -5*a(n-5) -7*a(n-6) +2*a(n-7) -26*a(n-8) +7*a(n-9) +14*a(n-10) -2*a(n-11) +18*a(n-12) -3*a(n-13) -9*a(n-14) +a(n-15) -3*a(n-16) +a(n-18) for n>19.

A302429 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 21, 42, 83, 235, 532, 1250, 2839, 6972, 16274, 38248, 89001, 212049, 499017, 1173745, 2751350, 6500703, 15315258, 36048935, 84729145, 199692020, 470383120, 1107496019, 2605813342, 6136943366, 14452575010, 34030167171, 80103073519
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Row 4 of A302427.

Examples

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

Crossrefs

Cf. A302427.

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) -a(n-3) +32*a(n-4) -21*a(n-5) -54*a(n-6) +18*a(n-7) -384*a(n-8) +170*a(n-9) +568*a(n-10) -141*a(n-11) +2355*a(n-12) -739*a(n-13) -3400*a(n-14) +626*a(n-15) -8500*a(n-16) +1993*a(n-17) +13579*a(n-18) -1666*a(n-19) +19582*a(n-20) -3652*a(n-21) -38275*a(n-22) +2196*a(n-23) -29263*a(n-24) +4898*a(n-25) +77920*a(n-26) +670*a(n-27) +25200*a(n-28) -5988*a(n-29) -116657*a(n-30) -8359*a(n-31) -2187*a(n-32) +9325*a(n-33) +130492*a(n-34) +16910*a(n-35) -26756*a(n-36) -15140*a(n-37) -110183*a(n-38) -19358*a(n-39) +41535*a(n-40) +18374*a(n-41) +70361*a(n-42) +13974*a(n-43) -36228*a(n-44) -15186*a(n-45) -33865*a(n-46) -6584*a(n-47) +21125*a(n-48) +8279*a(n-49) +12240*a(n-50) +2145*a(n-51) -8341*a(n-52) -2791*a(n-53) -3276*a(n-54) -488*a(n-55) +2128*a(n-56) +526*a(n-57) +611*a(n-58) +61*a(n-59) -323*a(n-60) -51*a(n-61) -66*a(n-62) -3*a(n-63) +27*a(n-64) +2*a(n-65) +3*a(n-66) -a(n-68) for n>69

A302430 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 51, 148, 372, 1359, 4223, 12765, 36991, 120577, 379049, 1163511, 3513789, 11057011, 34615371, 107067003, 328256519, 1021668031, 3184852651, 9877177123, 30474354613, 94542321045, 293938006889, 912146326937, 2822284649841
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Row 5 of A302427.

Examples

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

Crossrefs

Cf. A302427.

A302431 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 93, 362, 992, 4231, 14764, 53851, 182216, 685166, 2496115, 9055292, 32007765, 116943901, 427027396, 1549343892, 5552467791, 20133254864, 73288484477, 265972968443, 958816836857, 3470377190140, 12600871895519
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Row 6 of A302427.

Examples

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

Crossrefs

Cf. A302427.

A302432 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 86, 207, 879, 2503, 12527, 48037, 204549, 775916, 3358602, 13687791, 56973192, 229275449, 958442181, 3959517524, 16388638144, 67033864950, 277552341954, 1148287668884, 4747634176800, 19530191061230, 80658890197236
Offset: 1

Views

Author

R. H. Hardin, Apr 07 2018

Keywords

Comments

Row 7 of A302427.

Examples

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

Crossrefs

Cf. A302427.
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