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A225327 Partition numbers of the form 7k. 8

%I #15 May 10 2013 17:25:10

%S 7,42,56,77,231,385,490,1575,2436,3010,10143,21637,31185,37338,44583,

%T 124754,147273,281589,329931,386155,451276,1121505,3087735,8118264,

%U 9289091,20506255,23338469,49995925,118114304,133230930,271248950,607163746

%N Partition numbers of the form 7k.

%C Intersection of A008589 and A000041.

%H Paul Tek, <a href="/A225327/b225327.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = 7*A222175(n).

%e 42 is in the sequence because 7*6 = 42 and 42 is a partition number: p(10) = A000041(10) = 42.

%t Select[PartitionsP[Range[300]], Mod[#, 7] == 0 &]

%Y Cf. A000041, A008589, A052001, A072871, A087183, A225324, A225325, A225326, A225358, A225360, A127544, A225361.

%K nonn

%O 1,1

%A _Omar E. Pol_, May 05 2013

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Last modified April 24 18:17 EDT 2024. Contains 371962 sequences. (Running on oeis4.)