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.

A301395 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 2, 3, 13, 44, 156, 554, 1963, 6964, 24699, 87617, 310815, 1102602, 3911438, 13875683, 49223528, 174618908, 619455124, 2197497772, 7795555028, 27654489341, 98103442446, 348018917203, 1234586307769, 4379656611234, 15536695906316
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Column 3 of A301400.

Examples

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

Crossrefs

Cf. A301400.

Formula

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

A301396 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 4, 13, 78, 446, 2619, 15538, 92338, 549096, 3267591, 19445455, 115733520, 688822904, 4099797460, 24401669153, 145237096500, 864442371855, 5145110443481, 30623402361787, 182268749291468, 1084853268325407
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Column 4 of A301400.

Examples

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

Crossrefs

Cf. A301400.

Formula

Empirical: a(n) = 7*a(n-1) -a(n-2) -34*a(n-3) +14*a(n-4) +34*a(n-5) -129*a(n-6) +186*a(n-7) -52*a(n-8) -1057*a(n-9) +1244*a(n-10) +2133*a(n-11) +561*a(n-12) +8661*a(n-13) +4793*a(n-14) -4904*a(n-15) +3451*a(n-16) -22982*a(n-17) -52529*a(n-18) -23037*a(n-19) -99878*a(n-20) -14585*a(n-21) -33823*a(n-22) -37658*a(n-23) +44514*a(n-24) -47595*a(n-25) +17462*a(n-26) +9809*a(n-27) -27359*a(n-28) +26878*a(n-29) -14305*a(n-30) +6310*a(n-31) -2584*a(n-32) +2798*a(n-33) -2854*a(n-34) +2226*a(n-35) -690*a(n-36) -164*a(n-37) +348*a(n-38) -188*a(n-39) -77*a(n-40) +167*a(n-41) -139*a(n-42) +73*a(n-43) -24*a(n-44) +4*a(n-45)

A301397 Number of nX5 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 9, 44, 446, 4857, 49325, 521514, 5457161, 57311190, 601654211, 6316448607, 66317193844, 696258824443, 7310037380326, 76748138985060, 805779765484701, 8459893652740792, 88820547809627099, 932528264893178568
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Column 5 of A301400.

Examples

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

Crossrefs

Cf. A301400.

A301398 Number of nX6 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 19, 156, 2619, 49325, 885003, 16325745, 299552320, 5507220522, 101241811692, 1861266294856, 34219577018840, 629127370642307, 11566583462993881, 212652959829786846, 3909650837047832782, 71879414458502966455
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Column 6 of A301400.

Examples

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

Crossrefs

Cf. A301400.

A301399 Number of nX7 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 41, 554, 15538, 521514, 16325745, 528025038, 16971131642, 546618326745, 17603736711807, 566956049378525, 18260390329067940, 588124654381330816, 18942222518786814929, 610087935644210871329, 19649617831383406991765
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Column 7 of A301400.

Examples

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

Crossrefs

Cf. A301400.

A301394 Number of n X n 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 3, 78, 4857, 885003, 528025038, 956047339302, 5338842851150762, 91544753173766016191, 4821728266187979354515714
Offset: 1

Views

Author

R. H. Hardin, Mar 20 2018

Keywords

Comments

Diagonal of A301400.

Examples

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

Crossrefs

Cf. A301400.
Showing 1-6 of 6 results.