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A294851
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Number of compositions (ordered partitions) of 1 into exactly 3*n+1 powers of 1/4.
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2
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1, 1, 35, 4245, 1239823, 709097481, 701954099115, 1104353764428365, 2594884910993019575, 8684483842898500680225, 39880061006390454401626995, 243797643642188511890409843525, 1935230187172759446730224649089055, 19533122859042054951154895127392582265
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = [x^(4^n)] (Sum_{j=0..3*n+1} x^(4^j))^(3*n+1).
a(n) ~ c * d^n * n^(3*n + 3/2), where d = 0.228881755274644937676549309..., c = 3.08458888791535695636629... - Vaclav Kotesovec, Sep 20 2019
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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