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A075876
Values of m for which A075825(m) = 1.
0
0, 2, 4, 12, 52, 212, 852, 3412, 13652, 54612, 218452, 873812, 3495252, 13981012
OFFSET
1,2
COMMENTS
For n > 4 it appears that a(n) = 4*a(n-1) + 4.
From Robert Israel, Nov 08 2016: (Start)
By induction, we have for k >= 0:
A075825((10*4^k-7)/3) = 2^(k+1)
A075825((10*4^k-4)/3) = 1
A075825((10*4^k-1)/3) = 2^(k+1)+1
A075825((20*4^k-8)/3) = 2^(k+1)-1
A075825((20*4^k-5)/3) = 2^(k+1)+1
A075825((20*4^k-1)/3) = 2^(k+1)
In particular, this sequence contains b(k) = (10*4^k-4)/3 which is the solution of b(k) = 4*b(k-1)+4 with b(0) = 2.
The only terms <= 2*10^7 that are not of that form are 0 and 4. (End)
CROSSREFS
Cf. A075825.
Sequence in context: A030924 A030831 A058767 * A222470 A372347 A227037
KEYWORD
nonn
AUTHOR
John W. Layman, Oct 16 2002
EXTENSIONS
a(10)-a(14) from Robert Israel, Nov 08 2016
STATUS
approved