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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; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..11.

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: A307738 A041497 A042227 * A169892 A246805 A241660

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, Apr 17 2006

STATUS

approved

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Last modified February 22 14:45 EST 2020. Contains 332136 sequences. (Running on oeis4.)