

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
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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)*(x1)^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 range(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 bfile corrected by Michael De Vlieger, Jul 18 2014


STATUS

approved



