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A238744 Irregular table read by rows: T (n, k) gives the number of primes p such that p^k divides n; table omits all zero values. 1
1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,6

COMMENTS

If the prime signature of n (nonincreasing version) is viewed as a partition, row n gives the conjugate partition.

LINKS

Table of n, a(n) for n=2..88.

FORMULA

Row n is identical to row A124859(n) of table A212171.

EXAMPLE

24 = 2^3*3 is divisible by two prime numbers (2 and 3), one square of a prime (4 = 2^2), and one cube of a prime (8 = 2^3); therefore, row 24 of the table is {2,1,1}.

CROSSREFS

Row lengths are A051903(n); row sums are A001222(n).

Cf. A217171, A238745.

Sequence in context: A078572 A122750 A329041 * A030421 A085021 A060209

Adjacent sequences:  A238741 A238742 A238743 * A238745 A238746 A238747

KEYWORD

nonn,tabf

AUTHOR

Matthew Vandermast, Apr 28 2014

STATUS

approved

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Last modified July 5 20:21 EDT 2020. Contains 335473 sequences. (Running on oeis4.)