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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A269119 Number of sequences with 9 copies each of 1,2,...,n avoiding the pattern 12...n.

Original entry on oeis.org

0, 0, 1, 123700631, 88094027572412735, 327305762373962750213344469, 5055320871467502855510583170028558565, 268568796699793322439632085075432144258760935329, 42306180849230219227948320734391059740469458805515898752511
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Column k=9 of A269129.

Formula

a(n) = A172613(n) - A268852(n).

A269120 Number of sequences with 10 copies each of 1,2,...,n avoiding the pattern 12...n.

Original entry on oeis.org

0, 0, 1, 1004849563, 7541872062618216079, 370243779118368267931211789686, 91050643996464879303067913358954122530151, 90098061524165913059428708258834814271005531460359720, 302407545158616421950876578542740909974755462890611522604756347847
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Column k=10 of A269129.
Cf. A268853.

Formula

a(n) = (10*n)!/10!^n - A268853(n).

A269121 Number of sequences with n copies each of 1,2,3 avoiding the pattern 123.

Original entry on oeis.org

1, 5, 43, 374, 3199, 26945, 224296, 1850672, 15168751, 123700631, 1004849563, 8137906034, 65749071892, 530209766156, 4269268590280, 34334967161024, 275866609658095, 2214734413345667, 17769222356447761, 142492124882039978, 1142168892887289319
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Examples

			a(0) = 1: the empty sequence.
a(1) = 5: 132, 213, 231, 312, 321.
a(2) = 43: 113322, 131322, 133122, 133212, 133221, 211332, 213132, 213312, 213321, 221133, 221313, 221331, 223113, 223131, 223311, 231132, 231312, 231321, 232113, 232131, 232311, 233112, 233121, 233211, 311322, 313122, 313212, 313221, 321132, 321312, 321321, 322113, 322131, 322311, 323112, 323121, 323211, 331122, 331212, 331221, 332112, 332121, 332211.
		

Crossrefs

Row n=3 of A269129.

Formula

a(n) = A006480(n) - A047911(n).

A269122 Number of sequences with n copies each of 1,2,3,4 avoiding the pattern 1234.

Original entry on oeis.org

1, 23, 1879, 173891, 16140983, 1474050783, 132279480115, 11690616534627, 1020149742404727, 88094027572412735, 7541872062618216079, 641058122723345275763, 54163773797158984485203, 4553249681522845632696611, 381122944171897823109474291
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=4 of A269129.

Formula

a(n) = A008977(n) - A268840(n).

A269123 Number of sequences with n copies each of 1,2,...,5 avoiding the pattern 12...5.

Original entry on oeis.org

1, 119, 102011, 117392909, 142951955371, 173996758190594, 208728647384065181, 246211478304046636024, 285867869484243410805931, 327305762373962750213344469, 370243779118368267931211789686, 414473407439255725429093382135614, 459837370068489293091980501717140861
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=5 of A269129.

Formula

a(n) = A008978(n) - A268841(n).

A269124 Number of sequences with n copies each of 1,2,...,6 avoiding the pattern 12...6.

Original entry on oeis.org

1, 719, 7235651, 117108036719, 2169397142273171, 41489887418194798439, 791857392420720220446647, 14919265746950486383601562197, 276745258345325814650980975177139, 5055320871467502855510583170028558565, 91050643996464879303067913358954122530151
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=6 of A269129.

Formula

a(n) = A008979(n) - A268842(n).

A269125 Number of sequences with n copies each of 1,2,...,7 avoiding the pattern 12...7.

Original entry on oeis.org

1, 5039, 674641325, 171248808285596, 54391509124298646609, 18675035107760751336633904, 6541943110420293280017597411002, 2285085934263252199073238394141449534, 789007694236868030155290867470985247486401, 268568796699793322439632085075432144258760935329
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=7 of A269129.

Formula

a(n) = A071549(n) - A268843(n).

A269126 Number of sequences with n copies each of 1,2,...,8 avoiding the pattern 12...8.

Original entry on oeis.org

1, 40319, 81537026047, 360953073372968159, 2179159866745975811590271, 15006398706095549205738572240519, 108710813295434106456771753677041770655, 798203800902002138190338074022806761037450631, 5841526335200139692050292842849347521755651331941759
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=8 of A269129.

Formula

a(n) = A071550(n) - A268844(n).

A269127 Number of sequences with n copies each of 1,2,...,9 avoiding the pattern 12...9.

Original entry on oeis.org

1, 362879, 12498099730471, 1072323973643442736211, 135383475007869462606521105767, 20584293980310480336378076914369061769, 3413618982844502796240740610191874586048936771, 586566986371155102435901052470650279895779757665905993
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=9 of A269129.

Formula

a(n) = A071551(n) - A268845(n).

A269128 Number of sequences with n copies each of 1,2,...,10 avoiding the pattern 12...10.

Original entry on oeis.org

1, 3628799, 2375632826877259, 4376906243609822466600689, 12672963300072129619006691134123819, 46436573450646384263588550418764923934014699, 192715148077645864521949395033355447100683080114830089, 850648497663584994845965280567879628291013809845296658874866879
Offset: 0

Views

Author

Alois P. Heinz, Feb 19 2016

Keywords

Crossrefs

Row n=10 of A269129.

Formula

a(n) = A071552(n) - A268846(n).
Previous Showing 11-20 of 20 results.