

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
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OFFSET

1,1


COMMENTS

The only integers with this property are 10digit integers or 11digit integers.
There are 203220 10digit integers, the smallest one being 1122334455 and the largest one 9906140021.
There are 117919 11digit 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



