|
Search: id:A108669
|
|
|
| A108669 |
|
Triangle read by rows: T(n,k)=11kn+14(n+k)+20 (0<=k<=n). |
|
+0
1
|
|
| 20, 34, 59, 48, 84, 120, 62, 109, 156, 203, 76, 134, 192, 250, 308, 90, 159, 228, 297, 366, 435, 104, 184, 264, 344, 424, 504, 584, 118, 209, 300, 391, 482, 573, 664, 755, 132, 234, 336, 438, 540, 642, 744, 846, 948, 146, 259, 372, 485, 598, 711, 824, 937
(list; table; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Kekule numbers for certain benzenoids.
|
|
REFERENCES
|
S. J. Cyvin and I. Gutman, Kekule structures in benzenoid hydrocarbons, Lecture Notes in Chemistry, No. 46, Springer, New York, 1988 (p.102).
|
|
FORMULA
|
G:=(20-6z-tz-16tz^2+3t^2*z^2)/[(1-z)^2*(1-tz)^3]
|
|
EXAMPLE
|
Triangle begins:
20;
34,59;
48,84,120;
62,109,156,203;
|
|
MAPLE
|
T:=proc(n, k) if k<=n then 11*k*n+14*(n+k)+20 else 0 fi end: for n from 0 to 10 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
|
|
CROSSREFS
|
Sequence in context: A067468 A127906 A108667 this_sequence A039343 A043166 A043946
Adjacent sequences: A108666 A108667 A108668 this_sequence A108670 A108671 A108672
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 14 2005
|
|
|
Search completed in 0.005 seconds
|
