A146288 - OEIS

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A146288

Number of divisors of the n-th prime signature number (A025487(n)).

1, 2, 3, 4, 4, 6, 5, 8, 8, 6, 9, 10, 12, 7, 12, 12, 16, 8, 15, 18, 14, 16, 16, 20, 9, 18, 24, 16, 24, 20, 24, 10, 21, 30, 18, 32, 24, 27, 28, 11, 32, 24, 36, 25, 36, 20, 40, 28, 36, 32, 12, 40, 27, 32, 48, 30, 42, 22, 48, 32, 45, 36, 13, 48, 30, 48, 60, 35, 48, 48, 24, 54, 50, 56 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`If A025487(n)'s canonical factorization into prime powers is Product p^e(p), then a(n) = Product (e(p) + 1).`
	EXAMPLE	`a(4)=4 because 4 positive integers divide evenly into A025487(4)=6: 1, 2, 3 and 6.`
	CROSSREFS	`For the number of divisors of n, see A000005.` `a(n) = sum of the n-th row of A146290, A146292.` `A rearrangement of A080444.` `Sequence in context: A063655 A117248 A079788 * A199424 A184163 A184160` `Adjacent sequences: A146285 A146286 A146287 * A146289 A146290 A146291`
	KEYWORD	`nonn`
	AUTHOR	`Matthew Vandermast (ghodges14(AT)comcast.net), Nov 11 2008`

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Last modified February 15 21:10 EST 2012. Contains 205856 sequences.