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A167575
The fifth row of the ED3 array A167572.
3
1473, 8169, 26529, 66345, 140865, 266793, 464289, 756969, 1171905, 1739625, 2494113, 3472809, 4716609, 6269865, 8180385, 10499433, 13281729, 16585449, 20472225, 25007145, 30258753, 36299049, 43203489, 51050985, 59923905
OFFSET
1,1
FORMULA
a(n) = 144*n^4 + 192*n^3 + 1080*n^2 - 48*n + 105.
G.f.: (105*z^4 + 660*z^3 + 414*z^2 + 804*z + 1473)/(1-z)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). - G. C. Greubel, Jun 16 2016
MATHEMATICA
LinearRecurrence[{5, -10, 10, -5, 1}, {1473, 8169, 26529, 66345, 140865}, 100] (* G. C. Greubel, Jun 16 2016 *)
CROSSREFS
Equals the fifth row of the ED3 array A167572.
Sequence in context: A237379 A237144 A187310 * A157505 A290723 A187531
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
STATUS
approved