A268229 - OEIS

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A268229

Rotate the Sierpinski triangle A047999 counterclockwise by 45 degrees to get a square array; a(n) = period of row n.

1, 10, 1100, 1000, 11110000, 10100000, 11000000, 10000000, 1111111100000000, 1010101000000000, 1100110000000000, 1000100000000000, 1111000000000000, 1010000000000000, 1100000000000000, 1000000000000000, 11111111111111110000000000000000 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,2`
	LINKS	`Lars Blomberg, Table of n, a(n) for n = 0..255`
	EXAMPLE	`The initial rows of the square array are:` `11111111111111111111111111111111...` `10101010101010101010101010101010...` `11001100110011001100110011001100...` `10001000100010001000100010001000...` `11110000111100001111000011110000...` `10100000101000001010000010100000...` `11000000110000001100000011000000...` `10000000100000001000000010000000...` `11111111000000001111111100000000...` `10101010000000001010101000000000...` `11001100000000001100110000000000...` `10001000000000001000100000000000...` `11110000000000001111000000000000...` `10100000000000001010000000000000...` `11000000000000001100000000000000...` `10000000000000001000000000000000...` `11111111111111110000000000000000...` `10101010101010100000000000000000...` `...` `Row 5 is` `10100000101000001010000010100000...` `which is periodic with period-length 8 and period 10100000, so a(5) = 10100000.`
	CROSSREFS	`Cf. A047999 (Sierpinski triangle), A268230.` `Sequence in context: A339714 A069886 A133383 * A307723 A071672 A290155` `Adjacent sequences: A268226 A268227 A268228 * A268230 A268231 A268232`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane, Feb 03 2016`
	EXTENSIONS	`Corrected the example and terms a(10) and beyond - Lars Blomberg, Apr 14 2018`
	STATUS	`approved`

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)