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A173962 Averages of two consecutive odd cubes; (n^3+(n+2)^3)/2. 3
14, 76, 234, 536, 1030, 1764, 2786, 4144, 5886, 8060, 10714, 13896, 17654, 22036, 27090, 32864, 39406, 46764, 54986, 64120, 74214, 85316, 97474, 110736, 125150, 140764, 157626, 175784, 195286, 216180, 238514, 262336, 287694, 314636, 343210 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

(1^3 + 3^3)/2 = 14,..

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). - Colin Barker, Jan 17 2015

G.f.: 2*x*(7*x^2+10*x+7) / (x-1)^4. - Colin Barker, Jan 17 2015

MATHEMATICA

f[n_]:=(n^3+(n+2)^3)/2; Table[f[n], {n, 1, 6!, 2}]

Mean/@Partition[Range[1, 81, 2]^3, 2, 1] (* Harvey P. Dale, Apr 20 2015 *)

PROG

(PARI) Vec(2*x*(7*x^2+10*x+7)/(x-1)^4 + O(x^100)) \\ Colin Barker, Jan 17 2015

CROSSREFS

Cf. A027575, A173960, A173961.

Sequence in context: A270704 A200554 A152100 * A200547 A240045 A280396

Adjacent sequences:  A173959 A173960 A173961 * A173963 A173964 A173965

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Mar 03 2010

STATUS

approved

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Last modified February 24 11:12 EST 2018. Contains 299603 sequences. (Running on oeis4.)