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A301589
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Expansion of Product_{k>=1} 1/(1 - x^k)^(mod(k,3)).
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1
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1, 1, 3, 3, 7, 9, 15, 20, 31, 41, 61, 79, 113, 146, 201, 260, 349, 447, 589, 748, 972, 1226, 1571, 1968, 2495, 3106, 3900, 4825, 6008, 7392, 9137, 11181, 13731, 16719, 20409, 24737, 30032, 36243, 43783, 52620, 63282, 75760, 90727, 108222, 129097, 153464
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OFFSET
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0,3
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COMMENTS
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Euler transform of A010872.
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LINKS
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Table of n, a(n) for n=0..45.
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FORMULA
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a(n) ~ exp(Pi*sqrt(2*n/3)) * Pi^(2/3) / (2^(5/6) * 3^(7/6) * Gamma(1/3) * n^(5/6)).
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MATHEMATICA
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nmax = 60; CoefficientList[Series[Product[1/(1-x^k)^Mod[k, 3], {k, 1, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A010872, A301588.
Sequence in context: A131036 A331788 A206433 * A237666 A285187 A034411
Adjacent sequences: A301586 A301587 A301588 * A301590 A301591 A301592
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KEYWORD
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nonn
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AUTHOR
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Vaclav Kotesovec, Mar 24 2018
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STATUS
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approved
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