login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060999 Nearest integer to (n+1)^3/9. 4
0, 1, 3, 7, 14, 24, 38, 57, 81, 111, 148, 192, 244, 305, 375, 455, 546, 648, 762, 889, 1029, 1183, 1352, 1536, 1736, 1953, 2187, 2439, 2710, 3000, 3310, 3641, 3993, 4367, 4764, 5184, 5628, 6097, 6591, 7111, 7658, 8232, 8834, 9465, 10125, 10815, 11536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

FORMULA

G.f.: x*(1+x^2)/((1-x)^3*(1-x^3)).

Expansion of x * (1 - x^4) / ((1 - x)^3 * (1 - x^2) * (1 - x^3)) in powers of x.

Euler transform of length 4 sequence [ 3, 1, 1, -1]. - Michael Somos, Aug 12 2009

a(-2-n) = -a(n). - Michael Somos, Aug 12 2009

G.f.: ( (1 + 4*x + x^2) / (1 - x)^4 - 1 / (1 + x + x^2) ) / 9.

EXAMPLE

x + 3*x^2 + 7*x^3 + 14*x^4 + 24*x^5 + 38*x^6 + 57*x^7 + 81*x^8 + ...

MATHEMATICA

Table[Floor[(n+1)^3/9+1/2], {n, 0, 50}] (* Harvey P. Dale, Jan 20 2013 *)

PROG

(PARI) { default(realprecision, 100); for (n=0, 1000, write("b060999.txt", n, " ", round((n + 1)^3/9)) ) } \\ Harry J. Smith, Jul 16 2009

(PARI) {a(n) = n++; (n^3 - kronecker(-3, n)) / 9} /* Michael Somos, Aug 12 2009 */

CROSSREFS

Sequence in context: A093523 A173247 A123386 * A089187 A316319 A179178

Adjacent sequences:  A060996 A060997 A060998 * A061000 A061001 A061002

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 14 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 16 04:47 EST 2019. Contains 320140 sequences. (Running on oeis4.)