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A059901 Partitions encoded by prime factorization. The partition [P1+P2+P3+...] with P1>=P2>=P3>=... is encoded as 2^P1 * 3^P2 * 5^P3 *... 8
1, 2, 4, 6, 8, 12, 30, 16, 24, 60, 36, 210, 32, 48, 120, 72, 420, 180, 2310, 64, 96, 240, 144, 840, 360, 216, 4620, 1260, 900, 30030, 128, 192, 480, 288, 1680, 720, 432, 9240, 2520, 1800, 1080, 60060, 13860, 6300, 510510, 256, 384, 960, 576, 3360, 1440, 864 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partitions are ordered first by sum, then lexicographically: [] [1] [2] [1+1] [3] [2+1] [1+1+1] [4]... Rearrangement of A025487, A036035 etc.

LINKS

Table of n, a(n) for n=0..51.

FORMULA

a(n)=A059900(A059902(n))

EXAMPLE

Partition for n=17 is [2+2+1], so a(17)=2^2*3^2*5=180.

CROSSREFS

A059902, A059900, A025487, A036035, A000041.

Sequence in context: A087443 A036035 A063008 * A136101 A187779 A086141

Adjacent sequences:  A059898 A059899 A059900 * A059902 A059903 A059904

KEYWORD

easy,nonn

AUTHOR

Marc LeBrun, Feb 07 2001

STATUS

approved

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Last modified January 22 16:36 EST 2018. Contains 298055 sequences.