A258938 Index of the Lucas numbers in A258740.

2, 3, 4, 6, 7, 8, 9, 11, 14, 18, 19, 21, 23, 25, 30, 32, 33, 42, 44, 47, 57, 59, 63, 65, 71, 76, 77, 82, 83, 85, 86, 93, 97, 107, 108, 111, 116, 117, 118, 121, 127, 131, 135, 137, 139, 143, 151, 153, 154, 162, 164, 167, 175, 177, 183, 185, 188, 189, 194, 195

Offset

1,1

Comments

This sequence is probably finite with 228 terms. The probable last term of the sequence is a(228) = 6903, and the corresponding Lucas number A000032(6903) = 4382083468497... 10084254004 contains 1443 decimal digits.

Links

Michel Lagneau, Table of n, a(n) for n = 1..228

Example

7 is in the sequence because L(7)= A000032(7) = 29 = A258740(5) where 2+9=11 > 7.

Maple

with(combinat, fibonacci):with(numtheory):
a:=n->2*fibonacci(n-1)+fibonacci(n):
   for m from 1 to 400 do:
      x:=a(m):y:=convert(x, base, 10):n1:=nops(y):
      s:=sum('y[i]', 'i'=1..n1):
       if s>m
        then
        printf(`%d, `, m):
        else
       fi:
     od:

Prog

(PARI) lista(nn) = {for(n=1, nn, if (sumdigits(l = fibonacci(n+1) + fibonacci(n-1)) > n, print1(n, ", "))); } \\ Altug Alkan, Nov 08 2015

Crossrefs

Cf. A000032, A258740.

Sequence in context: A087919 A113508 A059325 * A004763 A320456 A330060

Adjacent sequences: A258935 A258936 A258937 * A258939 A258940 A258941

Keyword

nonn,base

Author

Michel Lagneau, Nov 07 2015

Status

approved