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A319567 Product of y divided by the GCD of y to the power of the length of y, where y is the integer partition with Heinz number n. 7
1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 4, 6, 1, 1, 4, 1, 3, 2, 5, 1, 2, 1, 6, 1, 4, 1, 6, 1, 1, 10, 7, 12, 4, 1, 8, 3, 3, 1, 8, 1, 5, 12, 9, 1, 2, 1, 9, 14, 6, 1, 8, 15, 4, 4, 10, 1, 6, 1, 11, 2, 1, 2, 10, 1, 7, 18, 12, 1, 4, 1, 12, 18, 8, 20, 12, 1, 3, 1, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

The Heinz number of a partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).

LINKS

Table of n, a(n) for n=0..81.

FORMULA

a(n) = A003963(n) / A289508(n) ^ A001222(n).

MATHEMATICA

primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]];

Table[If[n==1, 1, Times@@primeMS[n]/GCD@@primeMS[n]^PrimeOmega[n]], {n, 100}]

CROSSREFS

Cf. A003963, A001222, A056239, A067538, A112798, A143773, A289508, A289509, A316430.

Sequence in context: A321648 A330755 A316431 * A076511 A280688 A285728

Adjacent sequences:  A319564 A319565 A319566 * A319568 A319569 A319570

KEYWORD

nonn

AUTHOR

Gus Wiseman, Sep 23 2018

STATUS

approved

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Last modified May 28 12:02 EDT 2020. Contains 334681 sequences. (Running on oeis4.)