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 11 results. Next

A264879 Number of (2+1)X(n+1) arrays of permutations of 0..n*3+2 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

1, 0, 1, 1, 7, 20, 49, 175, 323, 1085, 2290, 6489, 15751, 41749, 105514, 276079, 706396, 1825615, 4714184, 12103729, 31297188, 80431077, 207561706, 534335127, 1377615603, 3548250067, 9145959294, 23561913471, 60719538527, 156456169973
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 2 of A264878.

Examples

			All solutions for n=4
.10..2.12..4.14
..6..0..1..9..3
.11..5.13..7..8

Links

Crossrefs

Cf. A264878.

Formula

Empirical: a(n) = 10*a(n-2) +6*a(n-3) -42*a(n-4) -40*a(n-5) +117*a(n-6) +143*a(n-7) -222*a(n-8) -266*a(n-9) +272*a(n-10) +266*a(n-11) -222*a(n-12) -143*a(n-13) +117*a(n-14) +40*a(n-15) -42*a(n-16) -6*a(n-17) +10*a(n-18) -a(n-20)

A264874 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

1, 1, 5, 20, 56, 137, 295, 709, 1983, 5280, 13521, 34173, 85993, 219721, 567894, 1461417, 3737198, 9546206, 24410323, 62518425, 160259301, 410562684, 1050999521, 2690293140, 6888161028, 17639430568, 45173289641, 115675667529
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Column 3 of A264878.

Examples

			Some solutions for n=4
..1..2..3.11....1..0..3.11....1..2..3.11....1..2..3.11....1..0..3..2
.12..0..7.15....5..4..7..2...12..0..7..6....5..0..7.15....5..4..7.15
.16..4..5..6...16..8..9..6....9..4..5.10...16..4.18..6...16..8.11..6
.13..8..9.10...13.12.15.10...13..8.15.14...13..8..9.10...13.12..9.10
.17.18.19.14...17.18.19.14...17.16.19.18...17.12.19.14...17.18.19.14

Links

Crossrefs

Cf. A264878.

Formula

Empirical: a(n) = a(n-1) +5*a(n-3) +4*a(n-4) +21*a(n-5) +21*a(n-6) +13*a(n-7) -58*a(n-8) -70*a(n-9) -157*a(n-10) -198*a(n-11) -102*a(n-12) +209*a(n-13) +273*a(n-14) +553*a(n-15) +594*a(n-16) +289*a(n-17) -359*a(n-18) -430*a(n-19) -917*a(n-20) -765*a(n-21) -338*a(n-22) +401*a(n-23) +387*a(n-24) +812*a(n-25) +551*a(n-26) +167*a(n-27) -301*a(n-28) -174*a(n-29) -444*a(n-30) -208*a(n-31) -21*a(n-32) +107*a(n-33) +37*a(n-34) +134*a(n-35) +34*a(n-36) -17*a(n-38) -3*a(n-39) -19*a(n-40) -2*a(n-41) +a(n-43) +a(n-45)

A264875 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

1, 7, 65, 572, 3613, 19372, 103585, 629654, 3930725, 23940621, 142473267, 842856777, 5016418697, 30065544899, 180338347093, 1079186020543, 6447895527277, 38523254178658, 230312221421636, 1377482024204996
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Column 5 of A264878.

Examples

			Some solutions for n=4
.12..2..3..4..5.17....1..0..3..2..5.17...12..2..3.15..5.17....1.13..3.15..5.17
..7..0..1.10.11.23...18..6..7..8.11..4....7..0..1..8.11..4...18..0..9..2.11..4
.24..6.26..8..9.29...13.12.15.16..9.10...24..6.13.14..9.10...24..6..7..8.28.10
.19.20.13.14.15.16...19.20.21.14.23.22...19.18.21.22.23.16...19.12.21.14.23.16
.25.18.27.28.21.22...25.24.27.26.29.28...25.26.27.20.29.28...25.26.27.20.29.22

Links

Crossrefs

Cf. A264878.

A264876 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

0, 20, 228, 2348, 22400, 207424, 1946752, 18265856, 171168256, 1602206720, 14987712512, 140201013248, 1311499247616, 12268128616448, 114758535184384, 1073466206519296, 10041325376634880, 93927687502692352, 878609985428783104
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Column 6 of A264878.

Examples

			Some solutions for n=4
.14..2..3..4.18..6.20...14..2..3..4..5..6.20...14..2..3..4..5..6.20
..8..0..1..9.25.13..5....8..0..1.11.10.13.12....8..0..1.11.25.13.12
.28..7.15.16.10.11.12...28..7.17..9.32.18.34...15..7.30..9.10.18.34
.22.21.24.23.17.27.19...22.23.15.16.26.27.19...22.21.24.16.17.27.19
.29.30.31.32.33.34.26...29.21.31.30.24.25.33...29.28.31.23.33.32.26

Links

Crossrefs

Cf. A264878.

A264877 Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

1, 49, 1101, 22152, 356692, 4747695, 68488297, 1050281271, 16268725036, 247512489984, 3713720283901, 55663627322361, 837518704332088, 12633257316861814, 190523379365155077, 2870374015520944177
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Column 7 of A264878.

Examples

			Some solutions for n=4
.16..2..1..4..5.21..7.23...16..2..3..4..5.21..7.23...16..0..3.19..5..6..7.23
..9..0.11.10..3.29.15..6....9..0..1.27.11.14.15..6....9.10..1..2.11..4.15.31
.32..8.19.20.36.12.13.14...32..8.19.10.36.12.13.22...32..8.17.20.36.12.13.14
.25.26.17.18.27.30.31.22...25.26.17.18.29.20.31.30...25.26.27.18.29.28.21.22
.33.24.35.34.37.28.39.38...33.24.35.34.37.28.39.38...33.24.35.34.37.38.39.30

Links

Crossrefs

Cf. A264878.

A264880 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

1, 0, 5, 4, 65, 228, 1101, 4832, 18501, 79088, 306617, 1273740, 5039669, 20532112, 82109789, 331870404, 1333905993, 5375261200, 21637089445, 87118807544, 350809834405, 1412328072196, 5687276800137, 22897079312012, 92199483148325
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 3 of A264878.

Examples

			All solutions for n=4
.10..2.12..4.14...10..2..3..4.14....1..2.12..4.14....1..2..3..4.14
.15..0..1..9..3...15..0..1..9.19...15..0.17..9..3...15..0.17..9.19
.11..5..6..7..8...11..5..6..7..8...11..5..6..7..8...11..5..6..7..8
.16.17.18.19.13...16.17.18.12.13...16.10.18.19.13...16.10.18.12.13

Links

Crossrefs

Cf. A264878.

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) -68*a(n-3) -69*a(n-4) +516*a(n-5) -5*a(n-6) -2512*a(n-7) +1593*a(n-8) +11468*a(n-9) -15799*a(n-10) -49100*a(n-11) +101093*a(n-12) +164044*a(n-13) -436187*a(n-14) -389856*a(n-15) +1321846*a(n-16) +642184*a(n-17) -2924570*a(n-18) -715336*a(n-19) +4872606*a(n-20) +473736*a(n-21) -6251634*a(n-22) +6251634*a(n-24) -473736*a(n-25) -4872606*a(n-26) +715336*a(n-27) +2924570*a(n-28) -642184*a(n-29) -1321846*a(n-30) +389856*a(n-31) +436187*a(n-32) -164044*a(n-33) -101093*a(n-34) +49100*a(n-35) +15799*a(n-36) -11468*a(n-37) -1593*a(n-38) +2512*a(n-39) +5*a(n-40) -516*a(n-41) +69*a(n-42) +68*a(n-43) -15*a(n-44) -4*a(n-45) +a(n-46)

A264881 Number of (4+1)X(n+1) arrays of permutations of 0..n*5+4 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

2, 0, 20, 12, 572, 2348, 22152, 129230, 915192, 5625202, 37271957, 233347958, 1512344735, 9550825980, 61315204660, 389091647972, 2487355416820, 15822559226124, 100953094987052, 642909203731360, 4098621203473156
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 4 of A264878.

Examples

			Some solutions for n=4
..1..2.12..4.14....1..2..3..4.14....1..2..3..4.14....1..2.12..4.14
.15..0.17..9..3...15..0..8..9.19....6..0.17..9.19...15..0..8..9..3
.20..5..6..7..8...20..5..6..7.24...20..5.22..7..8...20..5..6..7.24
.16.10.11.19.13...16.10.11.12.13...16.10.11.12.13...16.10.11.19.13
.21.22.23.24.18...21.22.23.17.18...21.15.23.24.18...21.22.23.17.18

Links

Crossrefs

Cf. A264878.

A264882 Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

3, 0, 56, 36, 3613, 22400, 356692, 3303808, 37498613, 378705540, 3968118198, 40855251236, 419847061269, 4338625113664, 44432810271640, 458593963707000, 4699321892473274, 48406074363574612, 496575268524702592
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 5 of A264878.

Examples

			Some solutions for n=4
.10..2..3..4.14....1..2..3..4.14....1..2..3..4.14...10..2.12..4.14
.15..0..1..9.19....6..0.17..9.19....6..0..8..9.19....6..0..1..9..3
.20..5..6..7..8...20..5.22..7..8...11..5.13..7.24...20..5.22..7..8
.25.17.11.12.13...25.10.11.12.13...25.10.27.12.29...25.17.11.19.13
.21.22.16.24.18...21.15.16.24.18...21.15.16.17.18...21.15.16.24.18
.26.27.28.29.23...26.27.28.29.23...26.20.28.22.23...26.27.28.29.23

Links

Crossrefs

Cf. A264878.

A264883 Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

4, 0, 137, 108, 19372, 207424, 4747695, 78535556, 1314624443, 22908798620, 367507064798, 6308520502938, 101920859207417, 1716067465404634, 28013671881647327, 465628347016848772, 7646941659349897210
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 6 of A264878.

Examples

			Some solutions for n=4
..1..2.12..4.14....1..2..3..4.14...10..2..3..4.14....1..2.12..4.14
..6..0..8..9..3....6..0.17..9.19....6..0..1..9.19....6..0..8..9..3
.11..5.22..7.24...20..5.22..7..8...11..5.22..7..8...11..5.13..7.24
.25.10.27.19.13...16.10.11.12.13...25.17.27.12.13...25.10.18.19.29
.30.15.16.17.18...30.15.32.24.18...30.15.16.24.18...30.15.16.17.34
.26.20.21.29.23...26.27.21.29.23...26.20.21.29.23...26.20.21.22.23
.31.32.33.34.28...31.25.33.34.28...31.32.33.34.28...31.32.33.27.28

Links

Crossrefs

Cf. A264878.

A264884 Number of (7+1)X(n+1) arrays of permutations of 0..n*8+7 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

Original entry on oeis.org

5, 0, 295, 324, 103585, 1946752, 68488297, 1924357508, 50441933177, 1445554962912, 36992542484103, 1026445425096056, 26650424305406609, 720407685534768304, 18921801302926160029, 503810101426663743940
Offset: 1

Views

Author

R. H. Hardin, Nov 27 2015

Keywords

Comments

Row 7 of A264878.

Examples

			Some solutions for n=4
..1..2..3..4.14....1..2..3..4.14....1..2..3..4.14....1..2.12..4.14
..6..0..8..9.19....6..0.17..9.19....6..0..8..9.19...15..0.17..9..3
.11..5.13..7.24...20..5.13..7..8...11..5.13..7.24...20..5..6..7..8
.16.10.27.12.29...16.10.11.12.29...16.10.18.12.29...16.10.11.19.13
.21.15.32.17.18...30.15.23.24.18...30.15.32.17.34...21.22.32.24.18
.35.20.37.22.23...35.27.21.22.39...35.20.21.22.23...35.27.37.29.23
.31.25.26.34.28...31.25.26.34.28...31.25.26.27.28...31.25.26.34.28
.36.30.38.39.33...36.37.38.32.33...36.37.38.39.33...36.30.38.39.33

Links

Crossrefs

Cf. A264878.
Showing 1-10 of 11 results. Next

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