|
| |
|
|
A117789
|
|
Lucas numbers which are divisible by the sum of their digits.
|
|
0
| |
|
|
1, 3, 4, 7, 18, 322, 5778, 505019158607, 84722519070079276, 1473646213395791149646646123, 105249261265075663875711417309855979021650214636
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
EXAMPLE
| 322 is in the sequence because (1) it is a Lucas number, (2) the sum of its digits is 3+2+2=7 and 322 is divisible by 7.
|
|
|
PROG
| (PARI) {m=370; a=1; b=3; print1(a, ", ", b, ", "); for(n=3, m, c=b+a; a=b; b=c; s=0; k=b; while(k>0, d=divrem(k, 10); k=d[1]; s=s+d[2]); if(b%s==0, print1(b, ", ")))} - (Klaus Brockhaus)
|
|
|
CROSSREFS
| Cf. A000204.
Sequence in context: A109749 A041497 A042227 * A169892 A113534 A030724
Adjacent sequences: A117786 A117787 A117788 * A117790 A117791 A117792
|
|
|
KEYWORD
| base,nonn
|
|
|
AUTHOR
| Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
|
|
|
EXTENSIONS
| a(9) corrected, a(10) and a(11) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 17 2006
|
| |
|
|