A225805 Sort the digits of n into alphabetical order according their French name: The "French Obsessive Filer's Sequence".

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 21, 31, 41, 51, 61, 71, 81, 91, 20, 21, 22, 23, 24, 52, 26, 27, 28, 29, 30, 31, 23, 33, 43, 53, 63, 73, 83, 93, 40, 41, 24, 43, 44, 54, 46, 47, 84, 94, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 26, 63, 46, 56

Offset: 0

Author

M. F. Hasler, Jul 28 2013

Keywords

• nonn
• word
• base

Comments

French version of A057846, see there for references.

Digits are sorted in the order: 5="cinq", 2="deux", 8="huit", 9="neuf", 4="quatre", 7="sept", 6="six", 3="trois", 1="un", 0="zéro".

Works well for the French language (as for English), because 0="zero" is sorted last. The exact German analog cannot be stored on OEIS, since 0="null" comes before, e.g., 2="zwei": This would yield "02" for 20, but leading zeros are not allowed for terms on OEIS.

Crossrefs

Cf. A057846, A072809.

Programs

PARI

(n,o=[9, 8, 1, 7, 4, 0, 6, 5, 2, 3])->{ sum(i=1,#n=vecsort(digits(n),(a,b)->o[b+1]-o[a+1]),n[i]*10^i)/10}