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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
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OFFSET
1,1
LINKS
G. C. Greubel,
Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients
, signature (5,-10,10,-5,1).
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
Adjacent sequences:
A167572
A167573
A167574
*
A167576
A167577
A167578
KEYWORD
easy
,
nonn
AUTHOR
Johannes W. Meijer
, Nov 10 2009
STATUS
approved