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%I #11 Jan 18 2020 18:23:30
%S 0,1,2,2,3,4,4,3,4,6,5,6,6,8,6,4,7,6,8,9,8,10,9,8,6,12,6,12,10,9,11,5,
%T 10,14,8,8,12,16,12,12,13,12,14,15,9,18,15,10,8,9,14,18,16,8,10,16,16,
%U 20,17,12,18,22,12,6,12,15,19,21,18,12,20,10,21,24,9,24,10,18,22,15,8,26,23,16,14,28,20,20,24
%N Length times maximum of the integer partition with Heinz number n.
%C The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k), so a(n) is the size of the minimal rectangle containing the Young digram of the integer partition with Heinz number n.
%H Antti Karttunen, <a href="/A326846/b326846.txt">Table of n, a(n) for n = 1..65537</a>
%H <a href="/index/He#Heinz">Index entries for sequences related to Heinz numbers</a>
%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%F a(n) = A001222(n) * A061395(n).
%t Table[PrimeOmega[n]*PrimePi[FactorInteger[n][[-1,1]]],{n,100}]
%o (PARI) A326846(n) = if(1==n, 0, bigomega(n)*primepi(vecmax(factor(n)[, 1]))); \\ _Antti Karttunen_, Jan 18 2020
%Y Cf. A047993, A056239, A061395, A106529, A112798.
%Y Cf. A316413, A326836, A326837, A326844, A326845, A326848, A326849.
%Y Cf. also A331297.
%K nonn
%O 1,3
%A _Gus Wiseman_, Jul 26 2019
%E More terms from _Antti Karttunen_, Jan 18 2020
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