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A339029
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Expansion of (1 + 4*x - 20*x^2 + 8*x^3 + 33*x^4 - 4*x^5 - 33*x^6)/(1 - 2*x)^4.
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2
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1, 12, 52, 168, 497, 1412, 3879, 10360, 27016, 69024, 173264, 428288, 1044480, 2516992, 6001408, 14174208, 33191936, 77127680, 177967104, 408027136, 930021376, 2108424192, 4756275200, 10680270848, 23880794112, 53185871872, 118016180224, 260969594880, 575223627776
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 2^(n-7)*(588 + 367*n + 84*n^2 + 9*n^3) for n >= 3.
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MAPLE
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gf := (1 + 4*x - 20*x^2 + 8*x^3 + 33*x^4 - 4*x^5 - 33*x^6)/(1 - 2*x)^4:
ser := series(gf, x, 32): seq(coeff(ser, x, n), n = 0..28);
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MATHEMATICA
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LinearRecurrence[{8, -24, 32, -16}, {1, 12, 52, 168, 497, 1412, 3879}, 30] (* Paolo Xausa, Feb 01 2024 *)
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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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