|
Search: id:A094159
|
|
|
| A094159 |
|
3 times hexagonal numbers. |
|
+0
6
|
|
| 0, 3, 18, 45, 84, 135, 198, 273, 360, 459, 570, 693, 828, 975, 1134, 1305, 1488, 1683, 1890, 2109, 2340, 2583, 2838, 3105, 3384, 3675, 3978, 4293, 4620, 4959, 5310, 5673, 6048, 6435, 6834, 7245, 7668, 8103, 8550, 9009, 9480, 9963, 10458, 10965, 11484
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Column 3 of A048790.
|
|
REFERENCES
|
Dan Hoey, Bill Gosper and Rich Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
|
|
LINKS
|
R. C. Schroeppel, A few mathematical experiments
|
|
FORMULA
|
(12n^2-6n)/2.
a(n) = 6(2n^2-n)/2 = 6n^2-3n = 3n(2n-1) = A000384(n)*3. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
a(n)=12*n+a(n-1)-21 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
|
|
EXAMPLE
|
For n=2, a(2)=12*2+0-21=3; n=3, a(3)=12*3+3-21=18; n=4, a(4)=12*4+18-21=45 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 12 2009]
|
|
MATHEMATICA
|
s=0; lst={s}; Do[s+=n++ +3; AppendTo[lst, s], {n, 0, 7!, 12}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
|
|
CROSSREFS
|
Cf. A000384. [From Omar E. Pol (info(AT)polprimos.com), Dec 11 2008]
Sequence in context: A097989 A039700 A069147 this_sequence A138976 A064043 A085789
Adjacent sequences: A094156 A094157 A094158 this_sequence A094160 A094161 A094162
|
|
KEYWORD
|
nonn,new
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), May 05 2004
|
|
EXTENSIONS
|
More terms and Mathematica program Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008
Better definition, corrected offset and edited. - Omar E. Pol (info(AT)polprimos.com), Dec 11 2008
|
|
|
Search completed in 0.002 seconds
|
