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 1-6 of 6 results.

A300771 Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 2, 3, 11, 32, 102, 330, 1059, 3418, 11023, 35561, 114744, 370251, 1194696, 3854994, 12439181, 40138345, 129517277, 417922738, 1348541219, 4351434893, 14041088118, 45307389076, 146196612400, 471743129235, 1522207498886, 4911816468097
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Column 3 of A300776.

Examples

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

Crossrefs

Cf. A300776.

Formula

Empirical: a(n) = 3*a(n-1) +3*a(n-3) -3*a(n-4) +5*a(n-5) -2*a(n-6) -11*a(n-7) -13*a(n-8) +11*a(n-9) -2*a(n-10) -5*a(n-11) +a(n-12) +5*a(n-13) -4*a(n-14) +a(n-15)

A300772 Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 4, 11, 36, 179, 735, 3482, 15986, 74347, 346927, 1617399, 7555603, 35285141, 164831052, 770046798, 3597506545, 16807267889, 78522710349, 366856173460, 1713946215073, 8007540142806, 37411176619541, 174784828107456
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Column 4 of A300776.

Examples

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

Crossrefs

Cf. A300776.

Formula

Empirical: a(n) = 7*a(n-1) -9*a(n-2) -8*a(n-3) -4*a(n-4) -15*a(n-5) +109*a(n-6) -99*a(n-7) -458*a(n-8) +1125*a(n-9) +451*a(n-10) -583*a(n-11) +9930*a(n-12) -11717*a(n-13) -15608*a(n-14) +35687*a(n-15) -58043*a(n-16) -57980*a(n-17) +158871*a(n-18) -117558*a(n-19) -9006*a(n-20) +323563*a(n-21) -373476*a(n-22) +364769*a(n-23) -111053*a(n-24) -347366*a(n-25) +535625*a(n-26) -584685*a(n-27) +219534*a(n-28) +20570*a(n-29) -57144*a(n-30) +264924*a(n-31) -292999*a(n-32) +55855*a(n-33) -39233*a(n-34) +197186*a(n-35) -87979*a(n-36) -47711*a(n-37) -8147*a(n-38) +8342*a(n-39) +30624*a(n-40) +6927*a(n-41) -55515*a(n-42) +52943*a(n-43) -29970*a(n-44) +20894*a(n-45) -13250*a(n-46) +3727*a(n-47) -777*a(n-48) +1639*a(n-49) -1592*a(n-50) +674*a(n-51) -130*a(n-52) +20*a(n-53) -13*a(n-54) +6*a(n-55) -a(n-56) for n>57

A300773 Number of nX5 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 9, 32, 179, 1536, 10374, 78932, 592064, 4449947, 33577057, 252998551, 1907641285, 14383151007, 108443795304, 817656870230, 6165008746020, 46483483392723, 350480396736512, 2642584867743746, 19924815133356634
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Column 5 of A300776.

Examples

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

Crossrefs

Cf. A300776.

A300774 Number of nX6 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 19, 102, 735, 10374, 116954, 1413931, 17336190, 210669938, 2579232344, 31507335039, 385235115962, 4709579663351, 57576031578161, 703919626655464, 8605843851625144, 105213106646598954, 1286307937687623392
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Column 6 of A300776.

Examples

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

Crossrefs

Cf. A300776.

A300775 Number of nX7 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 41, 330, 3482, 78932, 1413931, 27354464, 538564737, 10457318118, 204864839579, 4003320568347, 78291006560110, 1531185041826193, 29942985522306312, 585589511612781035, 11452027270290422629, 223961431020068238434
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Column 7 of A300776.

Examples

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

Crossrefs

Cf. A300776.

A300770 Number of n X n 0..1 arrays with every element equal to 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 3, 36, 1536, 116954, 27354464, 16992197390, 27071152148341, 112124137590207769
Offset: 1

Views

Author

R. H. Hardin, Mar 12 2018

Keywords

Comments

Diagonal of A300776.

Examples

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

Crossrefs

Cf. A300776.
Showing 1-6 of 6 results.