The On-Line Encyclopedia of Integer Sequences (OEIS)

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A091663

10-adic integer x=.....93380022607743740081787109375 satisfying x^3 = x.
(history; published version)

#17 by N. J. A. Sloane at Sat Jul 29 21:08:11 EDT 2017

STATUS

proposed

approved

#16 by Jon E. Schoenfield at Sat Jul 29 21:01:24 EDT 2017

STATUS

editing

proposed

#15 by Jon E. Schoenfield at Sat Jul 29 21:01:21 EDT 2017

NAME

10-adic integer x=.....93380022607743740081787109375 satisfying x^3 = x.

COMMENTS

Let a,b be integers defined in A018247, A018248 satisfying a^2=a, b^2=b, obviously a^3=a, b^3=b; let c,d,e,f be integers defined in A091661, A063006, A091663, A091664 then c^3=c, d^3=d, e^3=e, f^3=f, c+d=1, a+e=1, b+f=1, b+c=a, d+f=e, a+f=c, a=f+1, b=e+1, cd=-1, af=-1, gh=-1 where -1=.....999999999.

MATHEMATICA

To calculate c, d, e, f use Mathematica algorithms for a, b and equations: c=a-b , d=1-c , e=b-1 , f=a-1.

STATUS

proposed

editing

#14 by Michel Marcus at Fri Jul 28 11:54:03 EDT 2017

STATUS

editing

proposed

#13 by Michel Marcus at Fri Jul 28 11:53:51 EDT 2017

COMMENTS

Let a,b be integers defined in A018247, A018248 satisfying a^2=a,b^2=b, obviously a^3=a,b^3=b; let c,d,e,f be integers defined in A091661, A063006, A091663, A091664 then c^3=c, d^3=d, e^3=e, f^3=f, c+d=1, a+e=1, b+f=1, b+c=a, d+f=e, a+f=c, a=f+1, b=e+1, cd=-1, af=-1, gh=-1 where -1=.....999999999.

MATHEMATICA

To calculate c, d, e, f use Mathematica algorithms for a, b and equations: c=a-b d=1-c e=b-1 f=a-1.

STATUS

proposed

editing

Discussion

Fri Jul 28

11:54

Michel Marcus: Mathematica ??

#12 by Seiichi Manyama at Fri Jul 28 11:14:05 EDT 2017

STATUS

editing

proposed

#11 by Seiichi Manyama at Fri Jul 28 10:50:17 EDT 2017

CROSSREFS

Cf. A018247, A018248.

#10 by Seiichi Manyama at Fri Jul 28 10:49:53 EDT 2017

FORMULA

For n > 0, a(n) = 9 - A018247(n) = A018248(n). - Seiichi Manyama, Jul 28 2017

#9 by Seiichi Manyama at Fri Jul 28 10:36:38 EDT 2017

CROSSREFS

Cf. A018247.

#8 by Seiichi Manyama at Fri Jul 28 10:35:58 EDT 2017

DATA

5, 7, 3, 9, 0, 1, 7, 8, 7, 1, 8, 0, 0, 4, 7, 3, 4, 7, 7, 0, 6, 2, 2, 0, 0, 8, 3, 3, 9, 8, 5, 9, 9, 0, 9, 8, 3, 0, 1, 9, 6, 7, 6, 7, 5, 6, 7, 5, 2, 4, 4, 9, 9, 9, 8, 8, 1, 6, 3, 1, 9, 1, 4, 0, 9, 4, 3, 3, 8, 7, 3, 9, 9, 0, 1, 0, 9, 4, 1, 6, 0, 7, 9, 1, 0, 3, 8, 1, 9, 8, 0, 8, 6, 2, 9, 9, 6, 4, 0, 6