OFFSET
1,1
LINKS
Tanya Khovanova, Jun 29 2008, Table of n, a(n) for n = 1..202 (full sequence)
Tanya Khovanova, A Very Special Ten-Digit Number
EXAMPLE
9123567480 is in this sequence, because 80/2 = 40, 480/3 = 160, 7480/4 = 1870, 67480/5 = 13496, 567480/6 = 94580, 3567480/7 = 509640, 23567480/8 = 2945935, 123567480/9 = 13729720, 9123567480/10 = 912356748.
MATHEMATICA
Map[FromDigits, Select[Permutations[{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}], #[[1]] == 9 && Mod[FromDigits[{#[[8]], #[[9]], #[[10]]}], 120] == 0 && Mod[ #[[5]] + #[[6]] + #[[7]], 3] == 0 && Mod[FromDigits[Take[ #, -7]], 7] == 0 &]]
CROSSREFS
KEYWORD
fini,full,nonn,base
AUTHOR
Tanya Khovanova, Jun 29 2008
EXTENSIONS
Edited by Charles R Greathouse IV, Aug 02 2010
STATUS
approved