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Search: id:A048899
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| A048899 |
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Successive approximations up to 5^n for 5-adic integer sqrt(-1). |
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+0
5
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| 0, 3, 18, 68, 443, 1068, 1068, 32318, 110443, 1672943, 3626068, 23157318, 120813568, 1097376068, 1097376068, 19407922943, 49925501068, 355101282318, 355101282318, 15613890344818, 15613890344818, 110981321985443
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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 3 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, 3, a(n-1)^5)%5^n
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CROSSREFS
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A048899(n)=5^n-A034935(n).
Adjacent sequences: A048896 A048897 A048898 this_sequence A048900 A048901 A048902
Sequence in context: A110689 A027333 A026576 this_sequence A107583 A157535 A098522
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KEYWORD
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nonn,easy
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AUTHOR
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Michael Somos
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