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Partition numbers of the form 8k.
8

%I #14 May 10 2013 17:25:39

%S 56,176,792,2323520,4087968,8118264,92669720,118114304,150198136,

%T 384276336,541946240,1188908248,1844349560,2291320912,3163127352,

%U 4351078600,5371315400,5964539504,7346629512,10015581680,11097645016,16670689208,18440293320

%N Partition numbers of the form 8k.

%C Intersection of A008590 and A000041.

%H Paul Tek, <a href="/A225358/b225358.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = 8*A222178(n).

%e 56 is in the sequence because 8*7 = 56 and 56 is a partition number: p(11) = A000041(11) = 56.

%t Select[PartitionsP[Range[300]], Mod[#, 8] == 0 &]

%Y Cf. A000041, A008590, A052001, A072871, A087183, A225324, A225325, A225326, A225327, A225360, A127544, A225361.

%K nonn

%O 1,1

%A _Omar E. Pol_, May 05 2013