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A120818
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10-adic integer x=...92160195896736500120813568 satisfying x^5 = x; also x^3 = -x = A120817; (x^2)^3 = x^2 = A091664; (x^4)^2 = x^4 = A018248.
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4
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8, 6, 5, 3, 1, 8, 0, 2, 1, 0, 0, 5, 6, 3, 7, 6, 9, 8, 5, 9, 1, 0, 6, 1, 2, 9, 5, 9, 6, 4, 4, 3, 8, 5, 7, 7, 8, 5, 5, 8, 4, 5, 7, 6, 9, 6, 4, 4, 5, 9, 6, 6, 7, 7, 6, 7, 4, 0, 5, 3, 0, 6, 1, 6, 0, 4, 7, 3, 1, 3, 9, 0, 4, 2, 7, 9, 0, 8, 5, 3, 5, 6, 3, 5, 0, 3, 6, 6, 6, 9, 1, 7, 9, 6, 6, 4, 1, 1, 6, 5, 9, 5, 6, 4, 4
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Paul D. Hanna, Table of n, a(n) for n = 0..999
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FORMULA
| x = 10-adic limit_{n->infty} 8^(5^n).
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EXAMPLE
| x equals the limit of the (n+1) trailing digits of 8^(5^n):
8^(5^0)=(8), 8^(5^1)=327(68), 8^(5^2)=37778931862957161709(568), ...
x=...06160350476776695446967548558775834469592160195896736500120813568.
x^2=...0557423423230896109004106619977392256259918212890624 (A091664).
x^3=...3304553032451441224165530407839804103263499879186432 (A120817).
x^4=...9442576576769103890995893380022607743740081787109376 (A018248).
x^5=...6695446967548558775834469592160195896736500120813568 = x.
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PROG
| (PARI) {a(n)=local(b=8, v=[]); for(k=1, n+1, b=b^5%10^k; v=concat(v, (10*b\10^k))); v[n+1]}
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CROSSREFS
| Cf. A120817, A091664, A018248.
Sequence in context: A011329 A092033 A061360 * A125579 A202258 A021540
Adjacent sequences: A120815 A120816 A120817 * A120819 A120820 A120821
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KEYWORD
| base,nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Jul 06 2006
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