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A090449
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Fifth column (m=4) of triangle A090447.
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4
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96, 2500, 27000, 180075, 878080, 3429216, 11340000, 32942250, 86248800, 207352860, 464199736, 978193125, 1956864000, 3741740800, 6876627840, 12202737156, 20988540000, 35103820500, 57249238200, 91254750895, 142462526976, 218212500000, 328451500000, 486489948750
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OFFSET
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4,1
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LINKS
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T. D. Noe, Table of n, a(n) for n = 4..1000
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
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FORMULA
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a(n)= A090447(n, 4)= (n^4*(n-1)^3*(n-2)^2*(n-3)^1)/(1!*2!*3!*4!), n>=4.
G.f.: -x^4*(x^6+109*x^5+1435*x^4+4735*x^3+4780*x^2+1444*x+96)/(x-1)^11. [Colin Barker, Jan 21 2013]
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MATHEMATICA
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LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {96, 2500, 27000, 180075, 878080, 3429216, 11340000, 32942250, 86248800, 207352860, 464199736}, 40] (* Harvey P. Dale, Apr 10 2018 *)
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CROSSREFS
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Sequence in context: A268636 A233153 A204624 * A336677 A233709 A268901
Adjacent sequences: A090446 A090447 A090448 * A090450 A090451 A090452
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang, Dec 23 2003
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STATUS
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approved
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