A152228 2-adic expansion of log(5).
0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0
Offset: 0
Examples
log(5) (2-adic) = ...0001110110010010000000011100100010011001111100 (base 2). log(5) (2-adic) = 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^9 + 2^10 + 2^13 +... exp( log(5) (2-adic) ) = 101 (base 2) = 5.
Links
- Wikipedia, p-adic number
Programs
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PARI
a(n)=(truncate( log(5+2*O(2^n)) )%2^(n+1))\2^n