login
A114444
a(n) = 16*n*(n+2).
1
0, 48, 128, 240, 384, 560, 768, 1008, 1280, 1584, 1920, 2288, 2688, 3120, 3584, 4080, 4608, 5168, 5760, 6384, 7040, 7728, 8448, 9200, 9984, 10800, 11648, 12528, 13440, 14384, 15360, 16368, 17408, 18480, 19584, 20720, 21888, 23088, 24320, 25584, 26880, 28208, 29568, 30960
OFFSET
0,2
COMMENTS
Scalar curvature of quaternion Blaschke manifolds.
Numbers of the form (5*k + 3)^2 - (3*k + 5)^2. - Bruno Berselli, Dec 11 2011
FORMULA
a(n) = 16*(2*n+1)+a(n-1) (with a(0)=0). - Vincenzo Librandi, Nov 13 2010
G.f.: 16*x*(3-x)/(1-x)^3. - Bruno Berselli, Dec 11 2011
MAPLE
A114444:=n->16*n*(n+2): seq(A114444(n), n=0..80); # Wesley Ivan Hurt, Apr 12 2017
MATHEMATICA
a=Table[4^2*n*(n + 2), {n, 0, 28}]
LinearRecurrence[{3, -3, 1}, {0, 48, 128}, 50] (* Harvey P. Dale, Dec 24 2022 *)
PROG
(PARI) a(n)=16*n*(n+2) \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
Cf. A005563.
Sequence in context: A362045 A194952 A260362 * A044299 A044680 A211500
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula, Feb 14 2006
STATUS
approved