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A034935
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Successive approximations to 5-adic integer sqrt(-1).
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3
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0, 2, 7, 57, 182, 2057, 14557, 45807, 280182, 6139557, 25670807, 123327057, 5006139557, 11109655182, 102662389557, 407838170807, 3459595983307, 79753541295807, 365855836217682, 2273204469030182, 49956920289342682
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| This is the root congruent to 2 mod 5.
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REFERENCES
| J. H. Conway, The Sensual Quadratic Form, p. 118.
K. Mahler, Introduction to p-Adic Numbers and Their Functions, Cambridge, 1973, p. 35.
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FORMULA
| Successive values of 2^(5^x) mod 5^x - Joe K. Crump (joecr(AT)carolina.rr.com), Jan 20 2001
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PROG
| (PARI) sqrt(-1+O(5^40))
(PARI) {a(n) = local(k, x, y); for(i = 0, n, until( x != (y = truncate( sqrt( -1 + O(5^(k++))))), x = y)); x} /* Michael Somos Mar 03 2008 */
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CROSSREFS
| Cf. A034939, A048898, A048899.
Sequence in context: A175818 A034939 A048898 * A178769 A121079 A105183
Adjacent sequences: A034932 A034933 A034934 * A034936 A034937 A034938
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KEYWORD
| nonn,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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