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A309754
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Digits of the 2-adic integer arctanh(2).
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6
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0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1
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OFFSET
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0
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COMMENTS
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arctanh(x) = x + x^3/3 + x^5/5 + x^7/7 + ...
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LINKS
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FORMULA
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EXAMPLE
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arctanh(2) = ...0111000110010001010010010111010001111010.
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MAPLE
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N:= 100: # for a(0)..a(N)
T:= 0:
for k from 1 to N by 2 do
T:= padic:-evalp(T + 2^k/k, 2, N+1)
od:
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PROG
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(PARI) a(n) = lift(sum(i=0, (n-1)/2, Mod(2^(2*i+1)/(2*i+1), 2^(n+1))))\2^n
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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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