A075693 - OEIS

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A075693

Difference between 10-adic numbers defined in A018248 & A018247.

1, 5, -3, 9, -9, -7, 5, 7, 5, -7, 7, -9, -9, -1, 5, -3, -1, 5, 5, -9, 3, -5, -5, -9, -9, 7, -3, -3, 9, 7, 1, 9, 9, -9, 9, 7, -3, -9, -7, 9, 3, 5, 3, 5, 1, 3, 5, 1, -5, -1, -1, 9, 9, 9, 7, 7, -7, 3, -3, -7, 9, -7, -1, -9, 9, -1, -3, -3, 7, 5, -3, 9, 9, -9, -7, -9, 9, -1, -7, 3, -9, 5, 9, -7 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	COMMENTS	`Numbers in A018247 and A018248 are known as automorphic numbers in base 10, meaning that the infinite integers a=(...256259918212890625) or b=(...743740081787109376) provides a nontrivial solution to x*x == x (mod any power of 10).` `Read backwards so as to match their counterparts (A007185 & A016090), A018247(1)+A018248(1) = 11 & A018247(n)+A018248(n) = 9 for all n's > 1 and their product is A076308.` `All entries must be odd.` `Is the accumulative sum equally positive and negative, i.e. does the sum equal 0 infinitely often?`
	MATHEMATICA	`(* execute the programming in both A018247 & A018248 *) Reverse[b - a]`
	CROSSREFS	`Cf. A018248 & A018247.` `Sequence in context: A201938 A201410 A019955 * A198134 A082454 A108245` `Adjacent sequences: A075690 A075691 A075692 * A075694 A075695 A075696`
	KEYWORD	`easy,sign`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 26 2002`

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.