|
|
A005911
|
|
Number of points on surface of truncated cube: 46n^2 + 2.
(Formerly M5292)
|
|
1
|
|
|
1, 48, 186, 416, 738, 1152, 1658, 2256, 2946, 3728, 4602, 5568, 6626, 7776, 9018, 10352, 11778, 13296, 14906, 16608, 18402, 20288, 22266, 24336, 26498, 28752, 31098, 33536, 36066, 38688, 41402, 44208, 47106, 50096, 53178, 56352, 59618, 62976, 66426, 69968
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
|
|
LINKS
|
|
|
FORMULA
|
a(0)=1, a(1)=48, a(2)=186, a(3)=416, a(n)=3*a(n-1)-3*a(n-2)+a(n-3). - Harvey P. Dale, Aug 19 2014
|
|
MAPLE
|
|
|
MATHEMATICA
|
Join[{1}, Table[46n^2+2, {n, 50}]] (* or *) Join[{1}, LinearRecurrence[{3, -3, 1}, {48, 186, 416}, 50]] (* Harvey P. Dale, Aug 19 2014 *)
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|