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A089514
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Fourth column of triangle A089504.
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4
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1, 210, 31356, 4150440, 521757936, 64043874720, 7771495098816, 937759335004800, 112842062355914496, 13559707534436743680, 1628284591773850622976, 195461334300256627599360
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OFFSET
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0,2
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COMMENTS
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Convolution of A089513 with powers of 120.
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LINKS
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FORMULA
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G.f.: 1/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)*(1-6*5*4*x)).
a(n) = (1350*(6*5*4)^n - 950*(5*4*3)^n + 114*(4*3*2)^n - (3*2*1)^n)/513.
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MATHEMATICA
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CoefficientList[Series[1/((1-6x)(1-24x)(1-60x)(1-120x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {210, -12744, 241920, -1036800}, {1, 210, 31356, 4150440}, 20] (* Harvey P. Dale, Mar 17 2023 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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