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 1-10 of 10 results.

A222341 Number of (n+4) X 1 arrays of occupancy after each element moves up to +-4 places including 0.

Original entry on oeis.org

126, 460, 1690, 6225, 22950, 84626, 312019, 1150208, 4239225, 15621426, 57556155, 212037241, 781074572, 2877011660, 10596599460, 39027676220, 143735627861, 529352597361, 1949472483601, 7179308057596, 26438877143476, 97364252272077
Offset: 1

Views

Author

R. H. Hardin, Feb 16 2013

Keywords

Comments

Column 4 of A222345.

Examples

			Some solutions for n=3:
..0....3....1....2....1....0....0....1....0....0....1....0....1....3....0....1
..0....0....1....0....2....0....2....0....0....4....1....0....0....2....2....1
..1....1....1....0....1....1....0....1....5....0....0....0....0....0....0....0
..0....2....3....1....2....0....0....0....0....0....3....1....3....2....5....0
..6....0....0....0....0....2....0....0....0....0....0....4....1....0....0....5
..0....1....1....3....1....4....0....2....2....0....2....1....0....0....0....0
..0....0....0....1....0....0....5....3....0....3....0....1....2....0....0....0

Links

Crossrefs

Cf. A222345.

Formula

Empirical: a(n) = 9*a(n-1) - 28*a(n-2) + 35*a(n-3) - 15*a(n-4) + a(n-5).
Empirical g.f.: x*(126 - 674*x + 1078*x^2 - 515*x^3 + 35*x^4) / (1 - 9*x + 28*x^2 - 35*x^3 + 15*x^4 - x^5). - Colin Barker, Aug 16 2018

A222342 Number of (n+5) X 1 arrays of occupancy after each element moves up to +-5 places including 0.

Original entry on oeis.org

462, 1714, 6405, 24038, 90440, 340746, 1284780, 4846101, 18282268, 68974905, 260225005, 981727406, 3703492842, 13970426589, 52697057080, 198766661883, 749693097170, 2827538839901, 10664018934360, 40218182084976
Offset: 1

Views

Author

R. H. Hardin, Feb 16 2013

Keywords

Comments

Column 5 of A222345.

Examples

			Some solutions for n=3:
..0....0....1....0....1....2....3....3....0....0....3....3....1....1....0....2
..1....0....3....4....2....1....0....1....2....0....2....3....0....2....0....1
..1....5....0....0....0....0....1....0....0....3....2....0....2....2....2....0
..1....0....0....0....0....2....0....1....0....4....0....0....0....0....0....0
..0....0....0....3....0....2....3....1....5....0....0....0....2....0....0....1
..0....0....0....1....0....0....0....0....0....0....0....0....2....1....2....0
..1....0....3....0....4....1....0....2....0....1....0....0....0....2....1....1
..4....3....1....0....1....0....1....0....1....0....1....2....1....0....3....3

Links

Crossrefs

Cf. A222345.

Formula

Empirical: a(n) = 11*a(n-1) - 45*a(n-2) + 84*a(n-3) - 70*a(n-4) + 21*a(n-5) - a(n-6).
Empirical g.f.: x*(462 - 3368*x + 8341*x^2 - 8095*x^3 + 2611*x^4 - 126*x^5) / (1 - 11*x + 45*x^2 - 84*x^3 + 70*x^4 - 21*x^5 + x^6). - Colin Barker, Aug 16 2018

A222343 Number of (n+6)X1 arrays of occupancy after each element moves up to +-6 places including 0.

Original entry on oeis.org

1716, 6433, 24276, 92036, 350056, 1334368, 5094040, 19466280, 74437201, 284762777, 1089669471, 4170415998
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Column 6 of A222345

Examples

			Some solutions for n=3
..0....3....0....2....3....1....1....0....0....0....0....0....0....0....0....0
..1....0....2....0....0....0....3....0....0....2....0....4....1....1....1....0
..0....0....0....2....0....2....0....0....0....0....0....0....4....0....3....6
..0....0....0....1....1....1....1....1....1....1....1....0....0....1....1....0
..4....2....1....0....0....2....2....1....2....0....3....1....3....1....1....0
..2....1....0....2....0....0....0....0....2....2....1....0....0....2....1....2
..1....0....1....0....1....0....1....1....3....0....0....0....0....1....1....0
..1....2....1....1....4....3....0....3....0....1....4....4....1....0....1....1
..0....1....4....1....0....0....1....3....1....3....0....0....0....3....0....0

A222344 Number of (n+7)X1 arrays of occupancy after each element moves up to +-7 places including 0.

Original entry on oeis.org

6435, 24308, 92340, 352296, 1348536, 5175000, 19896840, 76608720, 295281045, 1139034799, 4396352766, 16975972331
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Column 7 of A222345

Examples

			Some solutions for n=3
..3....1....1....3....4....1....1....0....0....1....6....2....1....0....4....0
..0....0....2....1....2....1....0....3....0....2....0....0....4....0....3....2
..3....0....2....4....0....0....0....2....0....2....0....1....0....3....0....0
..1....2....1....0....0....1....0....1....0....2....0....0....1....0....2....0
..0....2....2....0....3....1....0....1....1....0....1....2....2....3....0....5
..1....2....1....0....0....1....0....0....4....0....0....2....0....0....1....0
..2....3....0....1....0....1....9....3....2....0....1....0....0....1....0....2
..0....0....0....0....0....0....0....0....0....0....1....1....2....0....0....0
..0....0....1....1....1....0....0....0....1....3....0....1....0....0....0....1
..0....0....0....0....0....4....0....0....2....0....1....1....0....3....0....0

A222346 Number of (n+2) X 1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

8, 33, 124, 460, 1714, 6433, 24308, 92376, 352714, 1352076
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Row 2 of A222345.

Examples

			Some solutions for n=3
..1....0....2....0....1....1....0....1....0....4....2....0....3....0....1....0
..0....1....0....1....2....2....2....1....0....0....0....2....0....5....2....1
..0....0....3....3....1....0....0....1....2....0....1....2....0....0....1....1
..1....1....0....1....1....1....3....2....2....1....2....1....1....0....0....0
..3....3....0....0....0....1....0....0....1....0....0....0....1....0....1....3

Crossrefs

Cf. A222345.

A222347 Number of (n+3) X 1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

21, 108, 440, 1690, 6405, 24276, 92340, 352674, 1352032
Offset: 1

Views

Author

R. H. Hardin, Feb 16 2013

Keywords

Comments

Row 3 of A222345.

Examples

			Some solutions for n=3
..1....2....0....0....2....3....0....0....1....2....1....0....0....2....1....0
..1....0....2....1....1....2....0....0....1....3....1....1....3....2....3....1
..1....0....0....3....1....0....0....4....2....1....0....0....0....0....1....2
..1....4....1....2....1....0....6....0....1....0....1....0....1....2....0....0
..0....0....3....0....0....0....0....1....0....0....1....2....0....0....1....2
..2....0....0....0....1....1....0....1....1....0....2....3....2....0....0....1

Crossrefs

Cf. A222345.

A222348 Number of (n+4)X1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

55, 352, 1560, 6225, 24038, 92036, 352296, 1351572
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Row 4 of A222345

Examples

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

A222349 Number of (n+5)X1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

144, 1145, 5525, 22950, 90440, 350056, 1348536, 5195700
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Row 5 of A222345

Examples

			Some solutions for n=3
..1....1....1....0....0....0....0....0....0....0....0....2....0....1....1....2
..0....1....3....0....0....1....0....0....2....0....2....2....1....1....2....0
..3....0....0....3....2....2....2....0....2....1....0....0....1....0....0....3
..0....4....0....2....0....0....1....3....1....4....1....2....1....0....0....0
..1....0....1....0....1....0....1....4....3....1....1....0....0....0....0....2
..0....0....2....0....2....3....1....0....0....0....2....0....0....4....1....0
..3....0....1....1....1....0....2....1....0....0....1....2....5....2....4....0
..0....2....0....2....2....2....1....0....0....2....1....0....0....0....0....1

A222350 Number of (n+6)X1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

377, 3721, 19551, 84626, 340746, 1334368, 5175000, 20023200
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Row 6 of A222345

Examples

			Some solutions for n=3
..3....4....2....0....0....0....3....1....0....0....1....0....2....3....0....2
..0....0....1....0....1....2....0....1....2....0....2....2....0....0....0....1
..0....1....0....0....1....0....1....0....0....1....0....0....0....1....2....1
..0....0....1....5....0....1....1....0....0....0....1....4....3....0....1....1
..1....1....0....2....0....2....0....1....2....5....0....0....1....0....2....1
..3....0....3....1....1....3....0....0....3....0....2....2....0....0....0....0
..0....1....0....1....6....1....1....3....0....1....1....1....2....0....3....0
..0....2....2....0....0....0....0....2....0....2....1....0....1....4....1....0
..2....0....0....0....0....0....3....1....2....0....1....0....0....1....0....3

A222351 Number of (n+7)X1 arrays of occupancy after each element moves up to +-n places including 0.

Original entry on oeis.org

987, 12087, 69142, 312019, 1284780, 5094040, 19896840, 77321250
Offset: 1

Views

Author

R. H. Hardin Feb 16 2013

Keywords

Comments

Row 7 of A222345

Examples

			Some solutions for n=3
..0....0....2....1....0....1....1....0....0....1....0....0....1....1....0....0
..0....0....0....0....3....0....1....1....1....1....0....2....3....0....0....1
..2....0....2....0....0....1....2....1....2....3....0....2....0....3....0....0
..1....1....2....0....2....1....1....2....3....0....1....0....1....0....4....0
..0....1....0....2....0....1....1....0....0....2....3....2....2....1....0....4
..0....1....2....2....1....2....3....0....1....1....1....0....0....2....5....0
..3....2....2....1....0....4....1....1....0....1....3....0....1....0....1....0
..0....1....0....2....0....0....0....1....2....1....2....4....1....0....0....0
..0....1....0....1....2....0....0....1....0....0....0....0....0....2....0....3
..4....3....0....1....2....0....0....3....1....0....0....0....1....1....0....2
Showing 1-10 of 10 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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