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Search: id:A048898
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| A048898 |
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Successive approximations up to 5^n for 5-adic integer sqrt(-1). |
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+0
4
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| 0, 2, 7, 57, 182, 2057, 14557, 45807, 280182, 280182, 6139557, 25670807, 123327057, 123327057, 5006139557, 11109655182, 102662389557, 407838170807, 3459595983307, 3459595983307, 79753541295807, 365855836217682
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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This is the root congruent to 2 mod 5.
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REFERENCES
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K. Mahler, Introduction to p-Adic Numbers and Their Functions, Cambridge, 1973, p. 35.
J. H. Conway, The Sensual Quadratic Form, p. 118.
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PROGRAM
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(PARI) a(n)=if(n<2, 2, a(n-1)^5)%5^n
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CROSSREFS
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A048899(n)=5^n-A048898(n). Cf. A034935, A034939.
Sequence in context: A079410 A002658 A034939 this_sequence A034935 A121079 A105183
Adjacent sequences: A048895 A048896 A048897 this_sequence A048899 A048900 A048901
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Michael Somos
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