A003986 - OEIS

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A003986

Table of x OR y, where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...

0, 1, 1, 2, 1, 2, 3, 3, 3, 3, 4, 3, 2, 3, 4, 5, 5, 3, 3, 5, 5, 6, 5, 6, 3, 6, 5, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 6, 7, 4, 7, 6, 7, 8, 9, 9, 7, 7, 5, 5, 7, 7, 9, 9, 10, 9, 10, 7, 6, 5, 6, 7, 10, 9, 10, 11, 11, 11, 11, 7, 7, 7, 7, 11, 11, 11, 11, 12, 11, 10, 11, 12, 7, 6, 7, 12, 11, 10, 11, 12, 13, 13, 11 (list; table; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	LINKS	`T. D. Noe, Rows n=0..100 of triangle, flattened`
	FORMULA	`T(x,y) = T(y,x) = A080098(x,y). - R. J. Mathar, May 28 2011`
	EXAMPLE	`The upper left corner of the array starts in row x=0 with columns y>=0 as:` `0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,..` `1, 1, 3, 3, 5, 5, 7, 7, 9, 9,11,11,13,..` `2, 3, 2, 3, 6, 7, 6, 7,10,11,10,11,14,..` `3, 3, 3, 3, 7, 7, 7, 7,11,11,11,11,15,..` `4, 5, 6, 7, 4, 5, 6, 7,12,13,14,15,12,..` `5, 5, 7, 7, 5, 5, 7, 7,13,13,15,15,13,..` `6, 7, 6, 7, 6, 7, 6, 7,14,15,14,15,14,..` `7, 7, 7, 7, 7, 7, 7, 7,15,15,15,15,15,..` `8, 9,10,11,12,13,14,15, 8, 9,10,11,12,..` `9, 9,11,11,13,13,15,15, 9, 9,11,11,13,..` `10,11,10,11,14,15,14,15,10,11,10,11,14,..`
	MAPLE	`read("transforms") ;` `A003986 := proc(x, y) ORnos(x, y) ; end proc:` `for d from 0 to 12 do for x from 0 to d do printf("%d, ", A003986(x, d-x)) ; end do: end do: # R. J. Mathar, May 28 2011`
	CROSSREFS	`Cf. A003987 (XOR) and A004198 (AND). Cf. also A075173, A075175.` `Antidiagonal sums are in A006583.` `Sequence in context: A002339 A123243 A037193 * A123603 A020908 A186519` `Adjacent sequences: A003983 A003984 A003985 * A003987 A003988 A003989`
	KEYWORD	`tabl,nonn`
	AUTHOR	`Marc LeBrun (mlb(AT)well.com)`

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Last modified February 15 02:50 EST 2012. Contains 205694 sequences.