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A258938
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Index of the Lucas numbers in A258740.
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2
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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
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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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.
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LINKS
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EXAMPLE
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7 is in the sequence because L(7)= A000032(7) = 29 = A258740(5) where 2+9=11 > 7.
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MAPLE
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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:
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PROG
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(PARI) lista(nn) = {for(n=1, nn, if (sumdigits(l = fibonacci(n+1) + fibonacci(n-1)) > n, print1(n, ", "))); } \\ Altug Alkan, Nov 08 2015
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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