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A036487 a(n) = floor((n^3)/2). 9
0, 0, 4, 13, 32, 62, 108, 171, 256, 364, 500, 665, 864, 1098, 1372, 1687, 2048, 2456, 2916, 3429, 4000, 4630, 5324, 6083, 6912, 7812, 8788, 9841, 10976, 12194, 13500, 14895, 16384, 17968, 19652, 21437, 23328, 25326, 27436, 29659, 32000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Enrique PĂ©rez Herrero, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (3,-2,-2,3,-1).

FORMULA

G.f. x^2*(4+x+x^2) / ( (1+x)*(x-1)^4 ). - R. J. Mathar, Jan 29 2011

MAPLE

[ seq(floor((n^3)/2), n=0..100) ];

MATHEMATICA

A036487[n_]:=Floor[n^3/2]

Floor[Range[0, 40]^3/2] (* or *) LinearRecurrence[{3, -2, -2, 3, -1}, {0, 0, 4, 13, 32}, 50] (* Harvey P. Dale, Jun 24 2018 *)

PROG

(Sage) [floor(n^3/2) for n in xrange(0, 41)] # Zerinvary Lajos, Dec 02 2009

(PARI) a(n)=n^3\2 \\ Charles R Greathouse IV, Jul 18 2014

CROSSREFS

Cf. A033430 (bisection), A268201 (bisection).

Sequence in context: A226839 A270976 A272510 * A184632 A212747 A011936

Adjacent sequences:  A036484 A036485 A036486 * A036488 A036489 A036490

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

Corrupted b-file corrected by Michael De Vlieger, Jul 18 2014

STATUS

approved

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Last modified September 20 08:44 EDT 2018. Contains 315232 sequences. (Running on oeis4.)