id:A038557 - OEIS Search Results

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Periodic derivative of n in base 3.

+0
2

0, 2, 1, 4, 8, 0, 8, 0, 4, 10, 14, 15, 22, 26, 18, 7, 2, 3, 20, 21, 25, 5, 6, 1, 17, 9, 13, 28, 32, 33, 40, 44, 36, 52, 47, 48, 64, 68, 69, 76, 80, 72, 61, 56, 57, 19, 23, 24, 4, 8, 0, 16, 11, 12, 56, 57, 61, 68, 69, 64, 80, 72, 76, 11, 12, 16, 23, 24, 19, 8, 0, 4, 47, 48, 52, 32 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`Simmons, G. J. The structure of the differentiation digraphs of binary sequences. Ars Combin. 35 (1993), A, 71-88. Math. Rev. 95f:05052.`
	FORMULA	`If n=b_k b_{k-1} ... b_0 in base 3, a(n) is number with ternary expansion (b_k+b_{k-1}) (b_{k-1}+b_{k-2}) ... (b_1+b_0) (b_0+b_{k}).`
	EXAMPLE	`14=112->200 so a(14)=18.`
	CROSSREFS	`Cf. A038554-A038556.` `Sequence in context: A045625 A146004 A001933 this_sequence A011234 A128412 A071951` `Adjacent sequences: A038554 A038555 A038556 this_sequence A038558 A038559 A038560`
	KEYWORD	`nonn,nice,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`Corrected and extended by Naohiro Nomoto (6284968128(AT)geocities.co.jp), Apr 08 2001`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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