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 A147783 #11 Dec 01 2018 10:14:19
%S A147783 1,0,1,0,2,1,3,1,5,2,8,3,12,5,17,9,25,13,35,19,51,28,69,40,96,59,129,
%T A147783 81,175,113,236,154,313,210,412,286,542,381,705,506,921,668,1185,875,
%U A147783 1525,1148,1948,1485,2485,1918,3157,2462,3990,3150
%N A147783 Number of partitions of n into parts divisible by 2 or 5.
%C A147783 Also number of partitions of n with no part and no difference between two parts equal to 1 or 3.
%C A147783 Also number of partitions of n with no part appearing 1 or 3 times.
%H A147783 Seiichi Manyama, <a href="/A147783/b147783.txt">Table of n, a(n) for n = 0..10000</a>
%H A147783 G. E. Andrews, <a href="https://doi.org/10.1016/S0021-9800(67)80022-X">A Generalization of a Partition Theorem of MacMahon</a>, J. Combin. Theory, 3 (1967) 100-101.
%H A147783 A. E. Holroyd, <a href="http://arxiv.org/abs/0706.2282">Partition Identities and the Coin Exchange Problem</a>, arXiv:0706.2282 [math.CO], 2007.
%H A147783 A. E. Holroyd, <a href="https://doi.org/10.1016/j.jcta.2007.12.003">Partition Identities and the Coin Exchange Problem</a>, J. Combin. Theory Ser. A, 115 (2008) 1096-1101.
%F A147783 G.f.: Product_{k>=1} (1-x^(10k))/(1-x^(2k))/(1-x^(5k)).
%F A147783 a(n) ~ exp(sqrt(2*n/5)*Pi)/(4*sqrt(5)*n). - _Vaclav Kotesovec_, Sep 23 2015
%t A147783 nmax = 60; CoefficientList[Series[Product[(1 + x^(5*k))/(1 - x^(2*k)), {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Sep 23 2015 *)
%Y A147783 Cf. A007690, A147784, A147785, A147786, A147787.
%K A147783 nonn
%O A147783 0,5
%A A147783 Alexander E. Holroyd (holroyd at math.ubc.ca)