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 15 results. Next

A189490 Number of arrangements of n+1 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

0, 12, 152, 3388, 85480, 2642358, 93830584, 3870426602, 179336321514, 9289851475820, 529329739784248, 33294638055400354, 2251636269472534394, 165280305640591105462, 13029806159083867494110, 1097830097296833990293942
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Diagonal of A189498

Examples

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

Links

A189491 Number of arrangements of n+1 nonzero numbers x(i) in -2..2 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

2, 12, 42, 136, 550, 1892, 7384, 26816, 103288, 386928, 1485566, 5654000, 21736466, 83448592, 321767288, 1241835856, 4803432344, 18605438864, 72168550344, 280295950240, 1089835505354, 4242072071396, 16526909026016, 64446293812896
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 2 of A189498

Examples

			Some solutions for n=5
..1....2....2....2....1...-2....1...-1....1....2...-1....1...-1....1....1...-1
..2....1...-2...-1...-2...-1...-2...-2....1....2...-1...-2....1....2...-2....2
..2....1...-1...-2...-2....2....2...-1...-1...-1...-2....1....1...-2...-2...-2
.-2...-1....2...-1....2....2....1....1....2...-1....2....2...-2....2....1...-1
.-2....1....2...-1...-2...-2...-1....2....1....2...-2....2...-1....1....1....1
..2...-1...-2....2...-1....2...-1...-2...-2....2...-2....1....1....2....1....1

Links

A189492 Number of arrangements of n+1 nonzero numbers x(i) in -3..3 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

6, 38, 152, 928, 4920, 27508, 152358, 852940, 4796962, 27117826, 153988846, 877458110, 5015185460, 28736333450, 165022598514, 949503677434, 5472715411708, 31592116727316, 182623690514234, 1057008913476932
Offset: 1

Views

Author

R. H. Hardin, Apr 23 2011

Keywords

Comments

Column 3 of A189498.

Examples

			Some solutions for n=5
.-3....2...-3...-2...-3....2....3...-1....2....2...-1...-3...-1....2....2...-1
.-2...-3...-1...-1...-2...-2...-1....2....2....1....2...-2...-1...-2...-3...-1
.-1....2...-2...-3...-2....3...-1....2...-2...-3....1....2...-3...-2...-2...-3
.-3....1....1...-3...-2...-3...-3...-1...-3....2...-1...-2...-3...-1....1....2
..2....1....2....3....1...-2...-1....3....2....1....1...-3....1....2....1....1
.-2....3...-2...-2...-2...-1....1....1....1...-3....1...-3....1...-2....1...-2

Links

Crossrefs

Cf. A189498.

A189493 Number of arrangements of n+1 nonzero numbers x(i) in -4..4 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

12, 78, 462, 3388, 24806, 182634, 1350418, 10077438, 75593372, 569975518, 4314566150, 32776245696, 249736590734, 1907787461862, 14606641601322, 112053156457254, 861099306196596, 6627602924590818, 51081646472620460
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 4 of A189498

Examples

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

Links

A189494 Number of arrangements of n+1 nonzero numbers x(i) in -5..5 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

20, 148, 1088, 9394, 85480, 787412, 7250142, 67449574, 630466648, 5926141678, 55929815964, 529724228140, 5032227826544, 47929965246944, 457554555905322, 4376712118553570, 41939283915535994, 402511337790992824
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 5 of A189498

Examples

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

Links

A189495 Number of arrangements of n+1 nonzero numbers x(i) in -6..6 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

30, 240, 2128, 22088, 238836, 2642358, 29261538, 326423068, 3664621084, 41363200538, 468946573672, 5336062742740, 60905410016682, 697014919372024, 7995252612136370, 91897595260805282, 1058172169719093028
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 6 of A189498

Examples

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

Links

A189496 Number of arrangements of n+1 nonzero numbers x(i) in -7..7 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

42, 380, 3850, 45892, 567774, 7269852, 93830584, 1218634086, 15936391068, 209537582772, 2767610804790, 36693616556076, 488053206844182, 6509219419657784, 87019925011505106, 1165759230193567534
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 7 of A189498

Examples

			Some solutions for n=5
..4...-3....4....6....4....5...-4...-5....7....4....5...-3....2....3...-4...-6
.-7...-7....2...-6....2...-6...-6...-6...-6...-6...-6...-6...-6...-7...-6...-6
..4...-2....4...-6...-4...-3....5...-3...-3...-6....7...-2....3...-4...-7...-2
..2...-4....4....5...-5...-4....3...-5....5...-3....5....3....1...-4...-5....3
..7....7...-2....5...-5...-6....5....5....5...-7....2...-4....1....3....5....6
..7...-6....2....5....4....7....3...-6....7....5...-4....5...-7....3....6...-2

Links

A189497 Number of arrangements of n+1 nonzero numbers x(i) in -8..8 with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

56, 554, 6474, 86416, 1218778, 17692662, 260746932, 3870426602, 57837221756, 869215927390, 13123761537778, 198920666858552, 3025059739988546, 46133139520964090, 705259604715611042, 10804567651956071366
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Column 8 of A189498

Examples

			Some solutions for n=5
..7...-8....1....8....1....1....2....5...-5...-7...-1...-1...-7....6....7...-6
.-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-8...-6
.-6...-2....8...-7....4...-6...-3...-8...-1....2...-2....5....5...-6...-3....3
.-5...-6....8...-5....1...-4....3...-4....6....1....1...-7....3....3...-3....2
..5....1....4...-8....5....4....7....4...-6....8....4...-2....7....1....6...-2
..7....1...-5....8...-7....5....8...-7....1....3...-2...-6....5...-1...-7...-2

Links

A189499 Number of arrangements of 3 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

4, 12, 38, 78, 148, 240, 380, 554, 788, 1062, 1410, 1806, 2294, 2844, 3498, 4226, 5068, 5988, 7040, 8180, 9466, 10850, 12396, 14046, 15876, 17824, 19960, 22226, 24696, 27296, 30118, 33090, 36288, 39642, 43242, 47002, 51022, 55220, 59690, 64346, 69294
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Row 2 of A189498

Examples

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

Links

A189500 Number of arrangements of 4 nonzero numbers x(i) in -n..n with the sum of floor(x(i)/x(i+1)) equal to zero.

Original entry on oeis.org

0, 42, 152, 462, 1088, 2128, 3850, 6474, 10126, 15224, 22180, 30900, 42164, 56514, 73816, 94984, 120700, 150836, 186756, 228696, 276618, 332204, 396444, 467948, 549504, 642000, 744978, 859846, 988550, 1129542, 1286278, 1458874, 1646896
Offset: 1

Views

Author

R. H. Hardin Apr 23 2011

Keywords

Comments

Row 3 of A189498

Examples

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

Links

Showing 1-10 of 15 results. Next

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