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A167561
The fourth row of the ED2 array A167560.
3
24, 80, 192, 384, 680, 1104, 1680, 2432, 3384, 4560, 5984, 7680, 9672, 11984, 14640, 17664, 21080, 24912, 29184, 33920, 39144, 44880, 51152, 57984, 65400, 73424, 82080, 91392, 101384, 112080, 123504, 135680, 148632, 162384, 176960
OFFSET
1,1
FORMULA
a(n) = 4*n^3 + 4*n^2 + 16*n.
G.f.: (0*z^3 + 16*z^2 - 16*z + 24)/(1-z)^4.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - G. C. Greubel, Jun 15 2016
MATHEMATICA
Table[4*n^3 + 4*n^2 + 16*n, {n, 1, 100}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {24, 80, 192, 384}, 100] (* G. C. Greubel, Jun 15 2016 *)
CROSSREFS
Cf. A167560.
Sequence in context: A114818 A190102 A060673 * A211575 A211583 A211589
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
STATUS
approved