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A085351
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Expansion of (1-3*x)/((1-4*x)*(1-5*x)).
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4
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1, 6, 34, 186, 994, 5226, 27154, 139866, 715714, 3644106, 18482674, 93461946, 471504034, 2374297386, 11938595794, 59961414426, 300880813954, 1508699037066, 7560675054514, 37872094749306, 189635351653474
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OFFSET
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0,2
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COMMENTS
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Binomial transform of A085350. Second binomial transform of poly-Bernoulli numbers A027649.
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LINKS
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FORMULA
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G.f.: (1-3*x)/((1-4*x)*(1-5*x)).
a(n) = 2*5^n - 4^n.
a(n) = 9*a(n-1) - 20*a(n-2) for n>1. - Colin Barker, Jun 25 2020
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MATHEMATICA
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CoefficientList[Series[(1-3x)/((1-4x)(1-5x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{9, -20}, {1, 6}, 30] (* Harvey P. Dale, Jan 07 2022 *)
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PROG
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(PARI) Vec((1 - 3*x) / ((1 - 4*x)*(1 - 5*x)) + O(x^25)) \\ Colin Barker, Jun 25 2020
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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