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 1-8 of 8 results.

A116180 Numbers k such that k concatenated with k+3 gives the product of two numbers which differ by 7.

Original entry on oeis.org

7137, 7767, 47783068991048776635, 48797525371338932241, 55658688122404752991, 56753136503494828605, 85555875266989354735, 86911515887391841491, 95992713077544748491, 97428345698747155255
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k-5 gives the product of two numbers which differ by 9.
Also numbers k such that k concatenated with k+9 gives the product of two numbers which differ by 5.

Examples

			7767//7770 = 8810 * 8817, where // denotes concatenation.
7767//7762 = 8809 * 8818.
7767//7776 = 8811 * 8816.
		

Crossrefs

Extensions

Edited by N. J. A. Sloane, Apr 12 2007

A116168 Numbers k such that k concatenated with k+1 gives the product of two numbers which differ by 8.

Original entry on oeis.org

19, 32, 16284704, 35576083, 15764836187996024260119639732979, 19807200907254352332962649366152, 20298517078413563250826300137112, 30190765850423053042937262322867, 30796637697589506772859224996627
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k+8 gives the product of two numbers which differ by 6.

Examples

			35576083//35576084 = 59645686 * 59645694, where // denotes concatenation.
35576083//35576091 = 59645687 * 59645693.
		

Crossrefs

Extensions

Edited by N. J. A. Sloane, Apr 15 2007

A116173 Numbers k such that k concatenated with k+2 gives the product of two numbers which differ by 6.

Original entry on oeis.org

6752089, 6448802889351008245, 18894512461523256139943105859903480218905, 31958875438439894736354375209245786214798
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k+7 gives the product of two numbers which differ by 4.
If k+2 and k-5 have the same number of digits, the k is also in A116126, because k//k+2 = 10^d*k + k + 2 = m*(m+6) then implies a representation k//k-5 = 10^d*k + k - 5 = m*(m+6)-7 = (m-1)*(m+7). - R. J. Mathar, Aug 10 2008

Examples

			6752089//6752091 = 8217107 * 8217113, where // denotes concatenation.
6752089//6752096 = 8217108 * 8217112.
		

Crossrefs

Extensions

Edited by N. J. A. Sloane, Apr 12 2007

A116169 Numbers k such that k concatenated with k+1 gives the product of two numbers which differ by 9.

Original entry on oeis.org

9, 49, 1166975893986638437392162264780939, 1411174268292962563778302427727571, 1860631503683565562655236868895135
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k+9 gives the product of two numbers which differ by 7.

Examples

			49//50 = 66 * 75, where // denotes concatenation.
49//58 = 67 * 74.
		

Crossrefs

Extensions

Edited by N. J. A. Sloane, Apr 15 2007

A116181 Numbers k such that k concatenated with k+3 gives the product of two numbers which differ by 8.

Original entry on oeis.org

57, 1062, 4545, 9517, 65040816823705919148274557212824575357, 73854453524198329292125744115286819630, 78444109191135472482770868099397646205
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			9517//9520 = 9752 * 9760, where // denotes concatenation.
		

Crossrefs

A116305 Numbers k such that k*(k+8) gives the concatenation of two numbers m and m+2.

Original entry on oeis.org

3377, 6616, 7027, 49941473, 50058520, 97000297, 785321170880, 799019801017, 989301366860, 997000002997, 4044997109223941, 4136014586911892, 4248535260473901, 4366325506691845, 4457342984379796, 5542657015620197
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			97000297 * 97000305 = 94090583//94090585, where // denotes concatenation.
		

Crossrefs

A116175 Numbers k such that k concatenated with k+2 gives the product of two numbers which differ by 9.

Original entry on oeis.org

1122070, 1538990, 3692998, 4422608, 1661985831086046580, 3508493742205242178, 5949206094811297768, 11324756194731856386028, 44020205992737767475178, 55147546334394567747178
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			4422608//4422610 = 6650265 * 6650274, where // denotes
concatenation.
		

Crossrefs

A116352 Numbers k such that k*(k+6) gives the concatenation of two numbers m and m+9.

Original entry on oeis.org

3378, 6617, 7028, 49941474, 50058521, 97000298, 785321170881, 799019801018, 989301366861, 997000002998, 4044997109223942, 4136014586911893, 4248535260473902, 4366325506691846, 4457342984379797, 5542657015620198
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Examples

			97000298 * 97000304 = 94090583//94090592, where // denotes concatenation.
		

Crossrefs

Showing 1-8 of 8 results.