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Robert Price, <a href="/A035647/b035647_1.txt">Table of n, a(n) for n = 1..1000</a>
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Robert Price, <a href="/A035647/b035647_1.txt">Table of n, a(n) for n = 1..1001000</a>
G.f.: (-1 + 1/Product_{k>=0} (1 - x^(6 k + 2)))*(-1 + 1/Product_{k>=0} (1 - x^(6 k + 4))). - Robert Price, Aug 16 2020
nmax = 74; l = Rest@CoefficientList[Series[(-1 + 1/Product[(1 - x^(6 k + 2)), {k, 0, nmax}])*(-1 + 1/Product[(1 - x^(6 k + 4)), {k, 0, nmax}]), {x, 0, nmax}], x] (* Robert Price, Aug 16 2020 *)
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Robert Price, <a href="/A035647/b035647.txt">Table of n, a(n) for n = 1..100</a>
nmax = 74; s1 = Range[0, nmax/6]*6 + 2; s2 = Range[0, nmax/6]*6 + 4;
Table[Count[IntegerPartitions[n, All, s1~Join~s2],
x_ /; ContainsAny[x, s1 ] && ContainsAny[x, s2 ]], {n, 1, nmax}] (* Robert Price, Aug 13 2020 *)
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Olivier Gerard (olivier.gerard(AT)gmail.com)