A296534 Integers N that yield exactly 10 different digits when all sums of two successive digits of N are considered.

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

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: A035525 A337487 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