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 14 results. Next

A188324 Number of nondecreasing arrangements of n nonzero numbers in -(2n-2)..(2n-2) with sum zero.

Original entry on oeis.org

0, 2, 8, 61, 472, 4050, 36454, 341988, 3306612, 32757830, 330964946, 3398830478, 35386215292, 372754193214, 3966423984516, 42579631811396, 460648926971334, 5017891492413126, 54996459314116816, 606092251444553993
Offset: 1

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Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Diagonal of A188333

Examples

			Some solutions for n=6
.-9...-8...-8...-6...-9...-7..-10..-10..-10...-8...-8...-8...-9...-7...-6...-7
.-1...-1...-6...-2...-5...-7...-7...-2...-2...-7...-7...-4...-6...-7...-5...-6
.-1...-1...-3...-1...-4...-3....1...-2...-2...-2....1...-4...-2...-2...-2....1
..1...-1....4....3....1....5....3...-2....2...-1....2...-4...-2....2...-1....3
..5....2....5....3....8....5....4....8....3....9....3...10....9....6....6....3
..5....9....8....3....9....7....9....8....9....9....9...10...10....8....8....6

Links

A188325 Number of nondecreasing arrangements of n nonzero numbers in -(n-1)..(n-1) with sum zero.

Original entry on oeis.org

0, 1, 2, 10, 40, 197, 980, 5142, 27632, 152191, 853564, 4863492, 28075992, 163920550, 966421928, 5746596806, 34428962746, 207654949801, 1259963104618, 7686160299232, 47116518171284, 290105437233107, 1793451033655758
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 1 of A188333

Examples

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

Links

A188326 Number of nondecreasing arrangements of n nonzero numbers in -n..n with sum zero.

Original entry on oeis.org

0, 2, 4, 20, 86, 424, 2128, 11200, 60372, 333254, 1872728, 10688284, 61792756, 361247006, 2132290212, 12692489494, 76115308712, 459476777038, 2790092370660, 17032567789840, 104478722395496, 643682329681246, 3981493201581658
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 2 of A188333

Examples

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

Links

A188327 Number of nondecreasing arrangements of n nonzero numbers in -(n+1)..(n+1) with sum zero.

Original entry on oeis.org

0, 3, 8, 37, 166, 828, 4238, 22563, 122986, 684809, 3877416, 22270064, 129457176, 760412390, 4507076156, 26926958097, 162005104664, 980816681009, 5971509956366, 36540846282249, 224628865150116, 1386650559443616
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 3 of A188333

Examples

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

Links

A188328 Number of nondecreasing arrangements of n nonzero numbers in -(n+2)..(n+2) with sum zero.

Original entry on oeis.org

0, 4, 12, 61, 288, 1488, 7836, 42593, 236130, 1333130, 7636298, 44294040, 259682196, 1536666930, 9167492664, 55086510571, 333133752902, 2026193778596, 12387543671686, 76088580071361, 469354099705916, 2906492292139022
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 4 of A188333

Examples

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

Links

A188329 Number of nondecreasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero.

Original entry on oeis.org

0, 5, 18, 94, 472, 2519, 13694, 76251, 431488, 2477726, 14399942, 84570550, 501197804, 2994043007, 18012040166, 109041492241, 663838548026, 4061954970953, 24969125105686, 154130498547414, 955070091156516
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 5 of A188333

Examples

			Some solutions for n=6
.-7...-7...-6...-8...-8...-6...-9...-8...-8...-9...-8...-8...-7...-8...-9...-7
.-6...-5...-6...-3...-5...-6...-7...-6...-5...-6...-6...-8...-3...-8...-5...-3
.-1...-2...-4...-2...-4...-6....1....1...-2....1....2...-1...-1....2....3....1
..4....1...-2....2....4....3....3....2...-1....3....3....5...-1....2....3....2
..5....5....9....4....4....6....5....4....7....3....4....6....5....5....4....2
..5....8....9....7....9....9....7....7....9....8....5....6....7....7....4....5

Links

A188330 Number of nondecreasing arrangements of n nonzero numbers in -(n+4)..(n+4) with sum zero.

Original entry on oeis.org

0, 6, 24, 136, 726, 4050, 22786, 130453, 755434, 4423012, 26136264, 155721334, 934541838, 5644979312, 34296099090, 209459048259, 1285320713656, 7921311099098, 49011099602408, 304342233975052, 1896163114078450
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 6 of A188333

Examples

			Some solutions for n=7
.-8...-8...-6...-6...-6...-5..-11..-11...-9..-10..-10..-11...-4..-10...-8...-6
.-7...-8...-4...-6...-3...-5...-8...-6...-8...-6...-9..-10...-4...-4...-8...-4
.-5...-6...-4...-3...-1...-5...-5...-4...-4...-3...-3...-8...-2...-4...-5...-3
..2....2...-4...-1...-1...-2....3...-1....2...-3....2....6...-2....1....4...-3
..5....5...-1....4....1....2....4....5....3....6....3....6...-2....2....5....4
..6....6....8....5....1....5....7....6....6....7....8....7....7....4....6....4
..7....9...11....7....9...10...10...11...10....9....9...10....7...11....6....8

Links

A188331 Number of nondecreasing arrangements of n nonzero numbers in -(n+5)..(n+5) with sum zero.

Original entry on oeis.org

0, 7, 32, 191, 1076, 6252, 36454, 214784, 1274786, 7621670, 45861804, 277601505, 1689349524, 10331083034, 63462615822, 391449573689, 2423684611456, 15058835953673, 93865873942596, 586844454182810, 3679133098371548
Offset: 1

Views

Author

R. H. Hardin, Mar 28 2011

Keywords

Comments

Column 7 of A188333.

Examples

			Some solutions for n=6
-10..-10..-11...-4...-4...-5..-10..-11..-11...-6...-6...-7...-7...-5..-11..-10
.-6...-1...-8...-4...-4...-5...-6...-5...-5...-4...-2...-5...-6...-5...-8...-9
.-3...-1...-5...-4...-3...-2...-6...-2...-1...-2...-2....1...-5...-3...-3....4
..4....4....6....1...-1....1....2....1....4....2...-2....1....3....2....6....5
..5....4....9....4....4....4....9....8....4....3....4....3....7....5....6....5
.10....4....9....7....8....7...11....9....9....7....8....7....8....6...10....5

Links

Crossrefs

Cf. A188333.

A188332 Number of nondecreasing arrangements of n nonzero numbers in -(n+6)..(n+6) with sum zero.

Original entry on oeis.org

0, 8, 40, 257, 1534, 9314, 56314, 341988, 2082546, 12729304, 78083158, 480688451, 2969319278, 18402445258, 114405090020, 713334999381, 4460132045862, 27960102769656, 175711836643538, 1106809365488500, 6987092970919342
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Column 8 of A188333

Examples

			Some solutions for n=6
.-6..-11...-7...-9..-11..-10...-6...-9..-11..-12...-4...-3..-12...-8..-10..-10
.-6..-11...-4...-6...-9...-9...-6...-4...-4...-5...-3...-2..-11...-7..-10...-7
.-4...-5...-2...-6...-9...-1...-1...-4....1...-2...-3...-2...-3...-3...-2...-6
..2....7...-2...-3....9....4...-1...-1....1...-2...-1....1....7....2....5....4
..4....9....5...12....9....4....5....7....4...10...-1....3....7....4....7....9
.10...11...10...12...11...12....9...11....9...11...12....3...12...12...10...10

Links

A188334 Number of nondecreasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.

Original entry on oeis.org

10, 20, 37, 61, 94, 136, 191, 257, 338, 434, 547, 677, 828, 998, 1191, 1407, 1648, 1914, 2209, 2531, 2884, 3268, 3685, 4135, 4622, 5144, 5705, 6305, 6946, 7628, 8355, 9125, 9942, 10806, 11719, 12681, 13696, 14762, 15883, 17059, 18292, 19582, 20933, 22343
Offset: 1

Views

Author

R. H. Hardin Mar 28 2011

Keywords

Comments

Row 4 of A188333

Examples

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

Links

Formula

Empirical: a(n)=2*a(n-1)-a(n-3)-a(n-4)+2*a(n-6)-a(n-7).
Empirical: -x*(-10+3*x^2+3*x^3-2*x^4-5*x^5+3*x^6) / ( (1+x)*(1+x+x^2)*(x-1)^4 ). a(n) = n^5/15-5*n^4/6+35*n^3/9-5*n^2 +253*n/30 +29/9 -2*A049347(n)/9. - R. J. Mathar, Mar 28 2011
Showing 1-10 of 14 results. Next

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