A278198 Partition numbers (A000041) of the form 2^4 * k for odd k.

176, 384276336, 2291320912, 5964539504, 10015581680, 290726957916112, 6486674127079088, 60105349839666544, 134819180623301520, 2332821198543892336, 14023788883518847344, 126891542690981418000, 320103136152993290544, 5852110108921301661040

Offset: 1

Author

Colin Barker, Nov 15 2016

Keywords

• nonn

Comments

Also partition numbers having four times as many even divisors as odd divisors.

Links

• Colin Barker, Table of n, a(n) for n = 1..600

Crossrefs

Cf. A275029, A278196, A278197, A278199, A278200, A278201.

Programs

Mathematica

Select[PartitionsP@ Range@ 518, Count[#, k_ /; EvenQ@ k] == 4 Count[#, k_ /; OddQ@ k] &@ Divisors@ # &] (* Michael De Vlieger, Nov 15 2016 *)

PARI

maxk=600; L=List(); for(k=1, maxk, p=numbpart(k); if(p%2^4==0 & p\2^4%2==1, listput(L, p))); Vec(L)