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A278197 Partition numbers (A000041) of the form 2^3 * k for odd k. 7
56, 792, 8118264, 92669720, 150198136, 1188908248, 1844349560, 3163127352, 4351078600, 5371315400, 7346629512, 11097645016, 16670689208, 18440293320, 684957390936, 6622987708040, 51820051838712, 77195892663512, 133978259344888, 197726516681672 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[PartitionsP@ Range@ 250, Count[#, k_ /; EvenQ@ k] == 3 Count[#, k_ /; OddQ@ k] &@ Divisors@ # &] (* Michael De Vlieger, Nov 15 2016 *)

PROG

(PARI) maxk=300; L=List(); for(k=1, maxk, p=numbpart(k); if(p%2^3==0 & p\2^3%2==1, listput(L, p))); Vec(L)

CROSSREFS

Cf. A275029, A278196, A278198, A278199, A278200, A278201.

Sequence in context: A175602 A227059 A285155 * A182866 A008389 A219937

Adjacent sequences:  A278194 A278195 A278196 * A278198 A278199 A278200

KEYWORD

nonn

AUTHOR

Colin Barker, Nov 15 2016

STATUS

approved

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Last modified September 17 06:00 EDT 2019. Contains 327119 sequences. (Running on oeis4.)