|
Search: id:A005912
|
|
|
| A005912 |
|
Truncated cube numbers.
(Formerly M5312)
|
|
+0
2
|
|
| 1, 56, 311, 920, 2037, 3816, 6411, 9976, 14665, 20632, 28031, 37016, 47741, 60360, 75027, 91896, 111121, 132856, 157255, 184472, 214661, 247976, 284571, 324600, 368217, 415576, 466831
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
|
|
LINKS
|
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
FORMULA
|
a(n)=(3*n+1)^3-8*(n)*(n+1)*(n+2)/6=77/3*n^3+23*n^2+19/3*n+1
|
|
MAPLE
|
A005912:=(1+52*z+93*z**2+8*z**3)/(z-1)**4; [Conjectured by S. Plouffe in his 1992 dissertation.]
|
|
CROSSREFS
|
Sequence in context: A158481 A158487 A110554 this_sequence A104677 A156375 A003783
Adjacent sequences: A005909 A005910 A005911 this_sequence A005913 A005914 A005915
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 22 1999
|
|
|
Search completed in 0.002 seconds
|
