A034946 Successive approximations to 11-adic integer sqrt(3).
0, 5, 27, 753, 11401, 26042, 1475501, 17419550, 95368234, 738444877, 21959974096, 73834823298, 2356328188186, 11771613318349, 149862461894073, 3567610964143242, 7744859133558893, 421292427905708342, 1937633513403589655
Offset: 0
Keywords
References
- K. Mahler, Introduction to p-Adic Numbers and Their Functions, Cambridge, 1973, p. 35.
Links
- Jianing Song, Table of n, a(n) for n = 0..543
Crossrefs
Cf. A321072.
Programs
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PARI
sqrt(3+O(11^40))
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PARI
A321072(n) = truncate(sqrt(3+O(11^n))) for(n=0, 50, if(valuation(A321072(n)^2-3, 11)!=valuation(A321072(n+1)^2-3, 11), print1(A321072(n), ", "))) \\ Jianing Song, Nov 01 2018
Comments