A105973 - OEIS

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A105973

Number of distinct prime divisors of 88...883 (with n 8's).

1, 1, 1, 3, 1, 2, 2, 1, 1, 5, 2, 3, 3, 2, 1, 4, 2, 2, 3, 2, 3, 6, 3, 2, 2, 4, 3, 8, 3, 5, 3, 3, 4, 5, 4, 4, 6, 4, 2, 4, 4, 5, 4, 6, 5, 7, 4, 5, 4, 2, 1, 5, 3, 2, 5, 4, 5, 4, 4, 3, 4, 2, 4, 8, 4, 5, 2, 5, 5, 5, 1, 2, 6, 5, 4, 5, 1, 2, 7, 3, 4, 9, 6, 7, 7, 4, 4, 3, 4, 5, 6, 6, 7, 5, 4, 3, 5, 5, 2, 6 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,4`
	LINKS	`Amiram Eldar, Table of n, a(n) for n = 0..201`
	FORMULA	`a(n) = A001221(A173811(n+1)). - Michel Marcus, Jan 27 2014`
	EXAMPLE	`The number of distinct prime divisors of 83 is 1 (prime).` `The number of distinct prime divisors of 883 is 1 (prime).` `The number of distinct prime divisors of 8883 is 3.`
	MATHEMATICA	`Table[PrimeNu[FromDigits[PadLeft[{3}, n, 8]]], {n, 100}] (* Harvey P. Dale, Mar 08 2015 *)`
	PROG	`a(n) = omega((8*10^(n+1)-53)/9); \\ Michel Marcus, Jan 27 2014`
	CROSSREFS	`Cf. A104660, A104518, A104660.` `Sequence in context: A236452 A056529 A087282 * A088429 A134658 A296518` `Adjacent sequences: A105970 A105971 A105972 * A105974 A105975 A105976`
	KEYWORD	`nonn,base`
	AUTHOR	`Parthasarathy Nambi, Apr 28 2005`
	STATUS	`approved`

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Last modified April 1 22:05 EDT 2023. Contains 361707 sequences. (Running on oeis4.)