login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A296534 Integers N that yield exactly 10 different digits when all sums of two successive digits of N are considered. 1
1122334455, 1122334463, 1122334537, 1122334553, 1122334627, 1122334635, 1122335273, 1122335281, 1122335437, 1122335461, 1122335527, 1122335543, 1122336173, 1122336255, 1122336435, 1122336443, 1122337081, 1122337163, 1122337253, 1122337261, 1122342637, 1122342645, 1122342719, 1122342735, 1122342809, 1122342817, 1122344273, 1122344281, 1122344519, 1122344551 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The only integers with this property are 10-digit integers or 11-digit integers.

There are 203220 10-digit integers, the smallest one being 1122334455 and the largest one 9906140021.

There are 117919 11-digit integers, the smallest one being 10021324354 and the largest one 90715031100.

LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000

EXAMPLE

The first term is 1122334455. The successive sums of two contiguous digits of 1122334455 are 1+1=2, 1+2=3, 2+2=4, 2+3=5, 3+3=6, 3+4=7, 4+4=8, 4+5=9, 5+5=10. We see that 2, 3, 4, 5, 6, 7, 8, 9 and 10 include all digits 0 to 9, none being repeated.

CROSSREFS

Sequence in context: A034650 A035525 A184152 * A133191 A050290 A158707

Adjacent sequences:  A296531 A296532 A296533 * A296535 A296536 A296537

KEYWORD

nonn,base,fini

AUTHOR

Eric Angelini and Lars Blomberg, Dec 15 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 14 12:27 EDT 2020. Contains 336480 sequences. (Running on oeis4.)