This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A225324 #23 May 22 2025 09:54:04 %S A225324 56,176,792,2436,5604,451276,715220,831820,1300156,2323520,4087968, %T A225324 7089500,8118264,12132164,15796476,26543660,92669720,118114304, %U A225324 150198136,190569292,384276336,483502844,541946240,761002156,851376628,1188908248,1327710076,1844349560 %N A225324 Partition numbers of the form 4k. %C A225324 Intersection of A008586 and A000041. %H A225324 Paul Tek, <a href="/A225324/b225324.txt">Table of n, a(n) for n = 1..10000</a> %F A225324 a(n) = 4*A216258(n). - _Omar E. Pol_, May 08 2013 %F A225324 a(n) = A000041(A237278(n)). - _Amiram Eldar_, May 22 2025 %e A225324 56 is in the sequence because 4*14 = 56 and 56 is a partition number: p(11) = A000041(11) = 56. %t A225324 Select[PartitionsP[Range[300]], Mod[#, 4] == 0 &] (* _T. D. Noe_, May 05 2013 *) %o A225324 (PARI) for(n=9, 1e3, t=numbpart(n); if(t%4, , print1(t", "))) \\ _Charles R Greathouse IV_, May 08 2013 %Y A225324 Cf. A000041, A008586, A052001, A072871, A087183, A127544, A216258, A225325, A225326, A225327, A225358, A225360, A225361, A237278. %K A225324 nonn %O A225324 1,1 %A A225324 _Omar E. Pol_, May 05 2013 %E A225324 a(6)-a(28) from _T. D. Noe_, May 05 2013