A234760 -id:A234760 - cp's OEIS frontend

A234759 Number of (n+1)X(7+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

56585338, 237446135146, 738613242438722, 2459819737238954066, 8077924001895128842744, 26609690894048025312611822, 87598290205388887442345353876, 288412121741126213605068521082634

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 7 of A234760

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

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

A234753 Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

110, 1014, 8968, 80010, 712722, 6350732, 56585338, 504183278, 4492335124, 40027273406, 356648038986, 3177778909824, 28314409931414, 252284955262302, 2247890695972232, 20028988949649010, 178460811756944538

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

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

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

Column 1 of A234760.

Empirical: a(n) = 8*a(n-1) + 10*a(n-2) - 16*a(n-3) - 8*a(n-4) + 4*a(n-5) + a(n-6).

Empirical g.f.: 2*x*(55 + 67*x - 122*x^2 - 57*x^3 + 33*x^4 + 8*x^5) / (1 - 8*x - 10*x^2 + 16*x^3 + 8*x^4 - 4*x^5 - x^6). - Colin Barker, Oct 16 2018

A234754 Number of (n+1)X(2+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

1014, 26642, 646036, 15939010, 392044622, 9648827736, 237446135146, 5843394219306, 143801532689336, 3538850266550630, 87088497253969902, 2143183802626938104, 52742175287648016058, 1297946099417129620238

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 2 of A234760

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

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

Empirical: a(n) = 27*a(n-1) -26*a(n-2) -884*a(n-3) +1597*a(n-4) +7345*a(n-5) -14758*a(n-6) -23881*a(n-7) +52625*a(n-8) +29984*a(n-9) -81577*a(n-10) -7015*a(n-11) +51495*a(n-12) -7850*a(n-13) -9139*a(n-14) +1340*a(n-15) +518*a(n-16) -36*a(n-17)

A234755 Number of (n+1)X(3+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

8968, 646036, 41065150, 2683721676, 174451064914, 11352560005654, 738613242438722, 48057390396250352, 3126794045459927262, 203441328354140321486, 13236675571733137508104, 861229107849713487636906

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 3 of A234760

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 55

Empirical recurrence of order 55 (see link above)

A234756 Number of (n+1)X(4+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

80010, 15939010, 2683721676, 469243923298, 81436516016562, 14155719250115192, 2459819737238954066, 427468816063895627714, 74284713081666378716324, 12909093718494739038921470, 2243322903467332769441789170

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 4 of A234760

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

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

A234757 Number of (n+1)X(5+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

712722, 392044622, 174451064914, 81436516016562, 37650372740746368, 17443322778721788150, 8077924001895128842744, 3741199763580832200930610, 1732660582029609793434136186, 802449881238851602750335840920

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 5 of A234760

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

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

A234758 Number of (n+1) X (6+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

Original entry on oeis.org

6350732, 9648827736, 11352560005654, 14155719250115192, 17443322778721788150, 21550277301402213440174, 26609690894048025312611822, 32860797539558791502159176652, 40579386469875550478586589580206

Offset: 1

R. H. Hardin, Dec 30 2013

nonn

Column 6 of A234760.

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

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

Cf. A234760.

cp's OEIS Frontend

A234759 Number of (n+1)X(7+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234753 Number of (n+1) X (1+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234754 Number of (n+1)X(2+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234755 Number of (n+1)X(3+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234756 Number of (n+1)X(4+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234757 Number of (n+1)X(5+1) 0..3 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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A234758 Number of (n+1) X (6+1) 0..3 arrays with 2 X 2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both.

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