A004515 - OEIS

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A004515

Generalized nim sum n + n in base 5.

0, 2, 4, 1, 3, 10, 12, 14, 11, 13, 20, 22, 24, 21, 23, 5, 7, 9, 6, 8, 15, 17, 19, 16, 18, 50, 52, 54, 51, 53, 60, 62, 64, 61, 63, 70, 72, 74, 71, 73, 55, 57, 59, 56, 58, 65, 67, 69, 66, 68, 100, 102, 104, 101, 103, 110 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`I.e. double (mod 5) each digit (0->0, 1->2, 2->4, 3->1, 4->3) of the base-5 representation of n)`
	LINKS	`Index entries for sequences related to Nim-sums` `Index entries for sequences that are permutations of the natural numbers`
	FORMULA	`Generalized nim sum m + n in base q: write m and n in base q and add mod q with no carries, e.g. 5 + 8 in base 3 = "21" + "22" = "10" = 1.`
	CROSSREFS	`Inverse permutation: A065256. A004515[n] = A065257[n+1]-1 ("Quintal Queens" permutation)` `Sequence in context: A079901 A121426 A190183 * A036560 A117297 A112973` `Adjacent sequences: A004512 A004513 A004514 * A004516 A004517 A004518`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 17 20:50 EST 2012. Contains 206085 sequences.