id:A146288 - OEIS Search Results

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

+0
3

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; listen)

	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 nth row of A146290, A146292.` `A rearrangement of A080444.` `Sequence in context: A063655 A117248 A079788 this_sequence A064553 A126012 A096908` `Adjacent sequences: A146285 A146286 A146287 this_sequence A146289 A146290 A146291`
	KEYWORD	`nonn`
	AUTHOR	`Matthew Vandermast (ghodges14(AT)comcast.net), Nov 11 2008`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research