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.

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A250802 Number of (5+1) X (n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

338, 1336, 4258, 12062, 31220, 76110, 177142, 398704, 874298, 1879862, 3980276, 8328038, 17263070, 35523840, 72679858, 148022462, 300378084, 607796942, 1227019286, 2472564224, 4975146938, 9998914966, 20076555908, 40280556422
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Examples

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

Links

Crossrefs

Row 5 of A250797

Formula

Empirical: a(n) = 5*a(n-1) - 6*a(n-2) - 7*a(n-3) + 18*a(n-4) - 3*a(n-5) - 14*a(n-6) + 7*a(n-7) + 3*a(n-8) - 2*a(n-9).
Empirical g.f.: 2*x*(169 - 177*x - 197*x^2 + 577*x^3 - 137*x^4 - 423*x^5 + 221*x^6 + 95*x^7 - 64*x^8) / ((1 - x)^4*(1 + x)^2*(1 - 2*x)*(1 - x - x^2)). - Colin Barker, Nov 20 2018

A250803 Number of (6+1)X(n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

816, 3646, 12706, 38676, 105954, 270598, 653880, 1517666, 3411886, 7486456, 16113534, 34166562, 71587660, 148595086, 306145338, 627018812, 1278150458, 2595669838, 5255451696, 10615144698, 21399536646, 43073623696, 86592277446
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Comments

Row 6 of A250797

Examples

			Some solutions for n=4
..0..1..0..1..0....1..0..0..0..0....0..0..1..0..1....0..1..0..1..0
..0..0..1..0..1....1..0..0..0..1....0..1..0..1..0....1..0..1..0..1
..0..0..1..0..1....1..0..0..0..0....0..1..0..1..0....1..0..1..0..1
..0..1..0..1..0....1..0..0..0..0....1..0..1..0..1....1..1..0..1..0
..0..1..0..0..1....1..0..0..0..1....0..1..0..1..0....1..1..0..0..1
..0..1..0..0..1....1..0..0..1..0....1..0..1..0..1....1..1..0..1..0
..0..1..1..1..0....0..1..1..0..1....1..1..0..1..0....1..1..0..1..0

Links

Formula

Empirical: a(n) = 4*a(n-1) -17*a(n-3) +12*a(n-4) +28*a(n-5) -28*a(n-6) -22*a(n-7) +27*a(n-8) +8*a(n-9) -12*a(n-10) -a(n-11) +2*a(n-12)

A250804 Number of (7+1)X(n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

1970, 9956, 37986, 124366, 361344, 968942, 2437366, 5849556, 13519146, 30351918, 66573728, 143373294, 304256334, 638165212, 1326004914, 2734630046, 5605754032, 11435981086, 23239612118, 47079690548, 95137712202, 191866743358
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Comments

Row 7 of A250797

Examples

			Some solutions for n=4
..0..0..1..0..1....0..1..0..1..0....0..1..0..0..0....0..0..1..0..1
..0..1..0..1..0....1..0..1..0..1....0..1..0..0..1....0..1..0..1..0
..1..0..1..0..1....1..0..1..0..1....0..1..0..1..0....0..1..1..0..1
..0..1..0..1..0....1..0..0..1..0....1..0..1..0..1....0..1..1..0..0
..0..1..0..1..0....1..0..0..1..0....1..1..0..1..0....0..1..1..0..0
..0..0..1..0..1....1..0..0..0..1....1..1..0..1..0....0..1..1..0..0
..1..1..0..1..0....1..0..1..1..0....1..1..0..0..1....0..1..1..0..1
..1..1..0..0..1....1..0..1..1..0....1..1..0..1..0....0..1..1..0..0

Links

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) -17*a(n-3) +29*a(n-4) +16*a(n-5) -56*a(n-6) +6*a(n-7) +49*a(n-8) -19*a(n-9) -20*a(n-10) +11*a(n-11) +3*a(n-12) -2*a(n-13)

A250790 Number of (n+1)X(n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

10, 66, 482, 3776, 31220, 270598, 2437366, 22741458, 218754226, 2164858272, 21979131840, 228579454066, 2430514618686, 26392486178654, 292283537055778
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2014

Keywords

Comments

Diagonal of A250797

Examples

			Some solutions for n=4
..0..0..0..1..0....1..0..0..0..1....1..0..1..0..1....0..1..0..0..1
..0..1..1..0..1....1..0..0..0..0....1..0..1..0..1....0..1..0..1..0
..0..1..1..0..1....1..0..0..0..1....1..0..1..0..1....0..1..0..0..1
..0..1..1..0..1....1..0..0..0..1....1..0..0..1..0....0..0..1..1..0
..0..1..1..0..1....1..1..1..1..0....1..0..0..0..1....0..0..1..1..0
Previous Showing 11-14 of 14 results.

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