A301450 -id:A301450 - cp's OEIS frontend

A301445 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

4, 29, 171, 1008, 5930, 34976, 206266, 1216562, 7175157, 42318566, 249591629, 1472072549, 8682172154, 51206792942, 302013780922, 1781254373986, 10505703200049, 61961840678551, 365446236883416, 2155374188205965

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Column 3 of A301450.

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

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

Cf. A301450.

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -10*a(n-3) -a(n-4) +7*a(n-5) -17*a(n-6) +5*a(n-8) -11*a(n-9) +5*a(n-10) -2*a(n-12) +2*a(n-13)

A301446 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 108, 1008, 9541, 91370, 877044, 8414314, 80726964, 774477323, 7430228709, 71284529536, 683893628760, 6561177596757, 62947000071013, 603904519316269, 5793773626269543, 55584635903151286, 533271050607294727

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Column 4 of A301450.

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

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

Cf. A301450.

Empirical: a(n) = 9*a(n-1) +14*a(n-2) -82*a(n-3) +5*a(n-4) +210*a(n-5) -381*a(n-6) -224*a(n-7) -7*a(n-8) +790*a(n-9) +1112*a(n-10) -5103*a(n-11) +10610*a(n-12) +4283*a(n-13) -18136*a(n-14) +27908*a(n-15) -6641*a(n-16) -12938*a(n-17) +16505*a(n-18) -16973*a(n-19) -38570*a(n-20) +34834*a(n-21) -1406*a(n-22) -24627*a(n-23) +31869*a(n-24) +15063*a(n-25) -23509*a(n-26) +14505*a(n-27) +2202*a(n-28) -9988*a(n-29) -3801*a(n-30) +1439*a(n-31) -3136*a(n-32) +6064*a(n-33) -1559*a(n-34) -428*a(n-35) +1588*a(n-36) -1063*a(n-37) -352*a(n-38) +384*a(n-39) -64*a(n-40)

A301447 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 401, 5930, 91370, 1423344, 22207589, 346263718, 5399605493, 84198470831, 1312961721912, 20473797385819, 319260349892947, 4978419327889986, 77631501971204037, 1210554922385559732, 18876914499872038074

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Column 5 of A301450.

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

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

Cf. A301450.

A301448 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 1490, 34976, 877044, 22207589, 564002959, 14319674594, 363595763125, 9231743942243, 234399915906671, 5951543846998622, 151113108480960499, 3836847205649231379, 97419726227858989197, 2473542056644931255534

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Column 6 of A301450.

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

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

Cf. A301450.

A301449 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 5536, 206266, 8414314, 346263718, 14319674594, 592006690060, 24472344492129, 1011614229196954, 41818633717956475, 1728717456235095132, 71462530065996111095, 2954149871798731848542, 122119977375690877476823

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Column 7 of A301450.

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

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

Cf. A301450.

A301444 Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 171, 9541, 1423344, 564002959, 592006690060, 1646995545166039, 12145346382857661327, 237428255410557186948107

Offset: 1

R. H. Hardin, Mar 21 2018

nonn

Diagonal of A301450.

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

Cf. A301450.

cp's OEIS Frontend

A301445 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A301446 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A301447 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A301448 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A301449 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A301444 Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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