id:A112383 - OEIS Search Results

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A self-descriptive fractal sequence: the sequence contains every positive integer. If the first occurrence of each integer is deleted from the sequence, the resulting sequence is the same is the original (this process may be called "upper trimming").

+0
3

1, 1, 2, 1, 3, 2, 1, 4, 3, 5, 2, 1, 4, 6, 3, 5, 7, 2, 8, 1, 4, 6, 3, 9, 5, 7, 2, 10, 8, 1, 4, 6, 3, 11, 9, 5, 12, 7, 13, 2, 10, 8, 1, 14, 4, 6, 3, 11, 9, 5, 15, 12, 7, 13, 16, 2, 10, 8, 1, 14, 17, 4, 6, 3, 11, 9, 5, 15, 18, 12, 7, 19, 13, 16, 2, 10, 8, 1, 14, 17, 20, 4, 21, 6, 3, 11 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This sequence gives the number of numbers that are retained between Xs that are dropped (cf. the example in A112382). Alternatively, each element is the number of numbers between two first occurrences of integers. For example, the first 3 describes the three numbers 2, 1, 4 between the first 5 and the first 6.`
	CROSSREFS	`Cf. A112377, A112382, A112384.` `Sequence in context: A104325 A133084 A118851 this_sequence A133404 A134627 A064881` `Adjacent sequences: A112380 A112381 A112382 this_sequence A112384 A112385 A112386`
	KEYWORD	`nonn`
	AUTHOR	`Kerry Mitchell (lkmitch(AT)gmail.com), Dec 05 2005`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

AT&T Labs Research