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 1-5 of 5 results.

A116172 Numbers k such that k concatenated with k+2 gives the product of two numbers which differ by 5.

Original entry on oeis.org

2, 74, 59264, 510782, 906902, 81790664, 92776472, 10876856041862, 11796926254874, 18332259798794, 18388650720624, 32624670587648, 32699883214248, 43103618706398, 44916698243804, 66132258426302
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Comments

Also numbers k such that k concatenated with k+6 gives the product of two numbers which differ by 3.
Also numbers k such that k concatenated with k+8 gives the product of two numbers which differ by 1.
If k+2 and k-4 have the same number of digits, then k is also in A116132 because k//k+2 = 10^d*k + k + 2 = m*(m+5) then implies k//k-4 = 10^d*k + k - 4 = m*(m+5) - 6 = (m-1)*(m+6). - R. J. Mathar, Aug 10 2008

Examples

			92776472//92776474 = 96320542 * 96320547, where // denotes concatenation.
92776472//92776480 = 96320544 * 96320545.
92776472//92776478 = 96320543 * 96320546.
		

Crossrefs

Extensions

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

A116316 Numbers k such that k*(k+3) gives the concatenation of two numbers m and m+4.

Original entry on oeis.org

386, 430, 568, 612, 815, 4522, 5476, 90911, 316833, 683165, 3636365, 6363633, 82352943, 331668333, 368421054, 395604392, 442767755, 461538463, 488721801, 511278197, 538461535, 557232243, 604395606, 631578944, 668331665
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116331 n times n+5 gives the concatenation of two numbers m and m+6.

Original entry on oeis.org

456, 540, 7666, 72722, 356430, 643566, 9090911, 35294119, 64705877, 335664330, 664335666, 684210521, 818181820, 838056675, 846153848, 866028703, 980125140, 3861386140, 6138613856, 6916125390, 9222488468, 41358246491
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116336 n times n+3 gives the concatenation of two numbers m and m+7.

Original entry on oeis.org

3, 89, 3677, 6321, 8787, 48744, 51254, 87618, 3762555, 6237443, 9217101, 3266298275, 3520463765, 6479536233, 6733701723, 8063694649, 8317860139, 4689524709430934475, 5310475290569065523, 7416797436703661748
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

A116329 Numbers k such that k*(k+1) gives the concatenation of two numbers m and m+6.

Original entry on oeis.org

387, 431, 569, 613, 816, 4523, 5477, 90912, 316834, 683166, 3636366, 6363634, 82352944, 331668334, 368421055, 395604393, 442767756, 461538464, 488721802, 511278198, 538461536, 557232244, 604395607, 631578945, 668331666
Offset: 1

Views

Author

Giovanni Resta, Feb 06 2006

Keywords

Crossrefs

Showing 1-5 of 5 results.