A059901 - OEIS

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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 *...

1, 2, 4, 6, 8, 12, 30, 16, 24, 36, 60, 210, 32, 48, 72, 120, 180, 420, 2310, 64, 96, 144, 216, 240, 360, 900, 840, 1260, 4620, 30030, 128, 192, 288, 432, 480, 720, 1080, 1800, 1680, 2520, 6300, 9240, 13860, 60060, 510510, 256, 384, 576, 864, 1296, 960, 1440

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Partitions are ordered canonically (as described in the OEIS Wiki link): [] [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.

Sean A. Irvine, (github)

OEIS Wiki, Orderings of partitions

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

Cf. A059902, A059900, A025487, A036035, A000041.

Sequence in context: A194406 A371164 A087443 * A036035 A063008 A303555

Adjacent sequences: A059898 A059899 A059900 * A059902 A059903 A059904