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A305757
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Inverse Euler transform of q*(j-720) where j is j-function (A000521).
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5
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24, 196584, 16773144, -18919981056, -3292295086056, 2312547886368744, 640457437563740184, -302667453389051314176, -123005476312830648176616, 39529719620247267255853032, 23306082528463942764630528024, -4849033309391159571741461446656
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OFFSET
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1,1
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COMMENTS
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(Conjecture) Let {b_n} = inverse Euler transform of (q*(j+144*k)). b_n is a multiple of 24.
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LINKS
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FORMULA
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q*(j-720) = Product_{k>0} (1 - x^k)^(-a(k)).
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EXAMPLE
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(1-x)^(-24) * (1-x^2)^(-196584) * (1-x^3)^(-16773144) * (1-x^4)^18919981056 * ... = 1 + 24*x + 196884*x^2 + 21493760*x^3 + 864299970*x^4 + ... .
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CROSSREFS
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Inverse Euler transform of q*(j+144*k): (-1)*A192731 (k=0), this sequence (k=-5), (-1)*A289061 (k=-12).
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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