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

A139157 a(n) = (n!+10)/10.

Original entry on oeis.org

13, 73, 505, 4033, 36289, 362881, 3991681, 47900161, 622702081, 8717829121, 130767436801, 2092278988801, 35568742809601, 640237370572801, 12164510040883201, 243290200817664001, 5109094217170944001
Offset: 5

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n! + 10)/10, {n, 5, 30}]
  • PARI
    for(n=5, 20, a=(n!+10)/10; print1(a, ", ")) \\ Felix Fröhlich, Jul 07 2014

Extensions

Name corrected by Amiram Eldar, Oct 14 2024

A139148 Smallest positive integer of the form (m!+n)/n.

Original entry on oeis.org

2, 2, 3, 7, 25, 2, 721, 4, 81, 13, 3628801, 3, 479001601, 361, 9, 46, 20922789888001, 41, 6402373705728001, 7, 241, 1814401, 1124000727777607680001, 2, 145153, 239500801, 13441, 181, 304888344611713860501504000001, 5
Offset: 1

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    a = {}; Do[m = 1; While[ ! IntegerQ[m!/n], m++ ]; AppendTo[a, (m! + n)/n], {n, 1, 50}]; a

Formula

a(n) = (n + (A002034(n))!)/n.
a(n) = A007672(n) + 1. - Charles R Greathouse IV, Dec 09 2014

A139159 a(n) = prime(n)! + 1.

Original entry on oeis.org

3, 7, 121, 5041, 39916801, 6227020801, 355687428096001, 121645100408832001, 25852016738884976640001, 8841761993739701954543616000001, 8222838654177922817725562880000001, 13763753091226345046315979581580902400000001, 33452526613163807108170062053440751665152000000001
Offset: 1

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

Formula

a(n) = A039716(n) + 1. - Michel Marcus, Nov 08 2013

Extensions

More terms from Michel Marcus, Aug 10 2025

A139160 a(n)=(prime(n)!+2)/2.

Original entry on oeis.org

2, 4, 61, 2521, 19958401, 3113510401, 177843714048001, 60822550204416001, 12926008369442488320001, 4420880996869850977271808000001, 4111419327088961408862781440000001
Offset: 1

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Comments

For numbers of the form (p(n)!+1)/1 see A139159
For numbers of the form (p(n)!+2)/2 see A139160
For numbers of the form (p(n)!+3)/3 see A139161
For numbers of the form (p(n)!+4)/4 see A139162
For numbers of the form (p(n)!+5)/5 see A139163
For numbers of the form (p(n)!+6)/6 see A139164
For numbers of the form (p(n)!+7)/7 see A139165
For numbers of the form (p(n)!+8)/8 see A139166
For numbers of the form (p(n)!+9)/9 see A139089
For numbers of the form (p(n)!+10)/10 see A139168
For offsets for above sequences see A139169
For smallest integers of the form (p(m)!+n)/n see A139170

Crossrefs

Programs

  • Mathematica
    Table[(Prime[n]! + 2)/2, {n, 1, 30}]
  • PARI
    a(n)=prime(n)!/2 + 1 \\ Charles R Greathouse IV, Apr 29 2015

A139156 a(n) = (n!+9)/9.

Original entry on oeis.org

81, 561, 4481, 40321, 403201, 4435201, 53222401, 691891201, 9686476801, 145297152001, 2324754432001, 39520825344001, 711374856192001, 13516122267648001, 270322445352960001, 5676771352412160001
Offset: 6

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n! + 9)/9, {n, 6, 30}]

Extensions

Name corrected by Amiram Eldar, Oct 14 2024

A139149 a(n) = (n!+2)/2.

Original entry on oeis.org

2, 4, 13, 61, 361, 2521, 20161, 181441, 1814401, 19958401, 239500801, 3113510401, 43589145601, 653837184001, 10461394944001, 177843714048001, 3201186852864001, 60822550204416001, 1216451004088320001, 25545471085854720001, 562000363888803840001
Offset: 2

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Comments

Also the number of (not necessarily maximal) cliques in the (n-1)-(weak) Bruhat graph. - Eric W. Weisstein, Jul 29 2018

Examples

			(1!+2)/2 = 3/2 is not an integer.
a(2) = (2!+2)/2 = 2.
		

Crossrefs

a(n) = (n!+m)/m: A038507 (m=1), this sequence (m=2), A139150 (m=3), A139151 (m=4), A139152 (m=5), A139153 (m=6), A139154 (m=7), A139155 (m=8), A139156 (m=9), A139157 (m=10).
Offsets for above sequences are Kempner numbers A002034.
For smallest number of the form (m!+n)/n see A139148.

Programs

A139150 a(n) = (n!+3)/3.

Original entry on oeis.org

3, 9, 41, 241, 1681, 13441, 120961, 1209601, 13305601, 159667201, 2075673601, 29059430401, 435891456001, 6974263296001, 118562476032001, 2134124568576001, 40548366802944001, 810967336058880001
Offset: 3

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Examples

			(2!+3)/3 = 5/3 is not an integer.
a(3) = (3!+3)/3 = 3.
		

Crossrefs

Programs

  • Mathematica
    Table[(n! + 3)/3, {n, 3, 30}]

Extensions

Name corrected by Amiram Eldar, Oct 13 2024

A139152 a(n) = (n!+5)/5.

Original entry on oeis.org

25, 145, 1009, 8065, 72577, 725761, 7983361, 95800321, 1245404161, 17435658241, 261534873601, 4184557977601, 71137485619201, 1280474741145601, 24329020081766401, 486580401635328001, 10218188434341888001
Offset: 5

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n! + 5)/5, {n, 5, 30}]

Extensions

Name corrected by Amiram Eldar, Oct 14 2024

A139153 a(n) = (n!+6)/6.

Original entry on oeis.org

2, 5, 21, 121, 841, 6721, 60481, 604801, 6652801, 79833601, 1037836801, 14529715201, 217945728001, 3487131648001, 59281238016001, 1067062284288001, 20274183401472001, 405483668029440001, 8515157028618240001
Offset: 3

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n! + 6)/6, {n, 3, 30}]

Extensions

Name corrected by Amiram Eldar, Oct 14 2024

A139154 a(n) = (n!+7)/7.

Original entry on oeis.org

721, 5761, 51841, 518401, 5702401, 68428801, 889574401, 12454041601, 186810624001, 2988969984001, 50812489728001, 914624815104001, 17377871486976001, 347557429739520001, 7298706024529920001
Offset: 7

Views

Author

Artur Jasinski, Apr 11 2008

Keywords

Crossrefs

Programs

  • Mathematica
    Table[(n! + 7)/7, {n, 7, 30}]

Extensions

Name corrected by Amiram Eldar, Oct 14 2024
Showing 1-10 of 11 results. Next