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A090449 Fifth column (m=4) of triangle A090447. 4
96, 2500, 27000, 180075, 878080, 3429216, 11340000, 32942250, 86248800, 207352860, 464199736, 978193125, 1956864000, 3741740800, 6876627840, 12202737156, 20988540000, 35103820500, 57249238200, 91254750895, 142462526976, 218212500000, 328451500000, 486489948750 (list; graph; refs; listen; history; text; internal format)
OFFSET

4,1

LINKS

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).

FORMULA

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]

MATHEMATICA

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 *)

CROSSREFS

Sequence in context: A268636 A233153 A204624 * A336677 A233709 A268901

Adjacent sequences:  A090446 A090447 A090448 * A090450 A090451 A090452

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Dec 23 2003

STATUS

approved

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Last modified June 27 16:27 EDT 2022. Contains 354896 sequences. (Running on oeis4.)