|
| |
|
|
A141066
|
|
List of different composites in Pascal-like triangle with index of asymmetry (y=2) and index of obliquely (z=0 or z=1).
|
|
0
|
|
|
|
1, 4, 8, 9, 15, 28, 40, 52, 88, 96, 170, 177, 188, 189, 326, 345, 400, 406, 600, 846, 871, 872, 1104, 1866, 2031, 2751, 4022, 4023, 6872, 8505, 8633, 10672
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Pascal-like triangle with index of asymmetry (y=2) and index of
obliqueness (z=0) read by rows with recurrence G(n, k): G(n, 0)=G(n+1,
n+1)=1, G(n+2, n+1)=2, G(n+3, n+1)=4, G(n+4, k)=G(n+1, k-1)+G(n+1,
k)+G(n+2, k)+G(n+3, k) for k:=1..(n+1).
Pascal-like triangle with index of asymmetry(y=1) and index of obliqueness
(z=1) read by rows with recurrence G(n, k): G(n, n)=G(n+1, 0)=1, G(n+2,
1)=2, G(n+3, 2)=4, G(n+4, k)=G(n+1,
k-2)+G(n+1, k-3)+G(n+2, k-2)+G(n+3, k-1) for k=3..(n+3).
|
|
|
LINKS
|
Table of n, a(n) for n=1..32.
Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ...
|
|
|
EXAMPLE
|
Pascal-like triangle (y=2, z=0) begins:
If 1, then a(1)=1.
If 1 1
1 2 1
1 4 2 1, then a(2)=4.
If 1 8 4 2 1, then a(3)=8.
If 1 15 9 4 2 1, then a(4)=12 and a(5)=15.
If 1 28 19 9 4 2 1, then a(6)=28.
If 1 52 40 19 9 4 2 1, then a(7)=40 and a(8)=52.
If 1 96 83 41 19 9 4 2 1
1 177 170 88 41 19 9 4 2 1, then a(9)=88, a(10)=96,
a(11)=170, a(12)=177.
If 1 326 345 188 88 41 19 9 4 2 1
1 600 694 400 189 88 41 19 9 4 2 1, then a(13)=188,
a(14)=189, a(15)=326, a(16)=345, a(17)=400, ets.
|
|
|
CROSSREFS
|
Cf. A140998.
Sequence in context: A161542 A131195 A020217 * A018196 A072103 A004756
Adjacent sequences: A141063 A141064 A141065 * A141067 A141068 A141069
|
|
|
KEYWORD
|
nonn,uned
|
|
|
AUTHOR
|
Juri-Stepan Gerasimov, Jul 14 2008
|
|
|
EXTENSIONS
|
Partially edited by N. J. A. Sloane, Jul 18 2008
|
|
|
STATUS
|
approved
|
| |
|
|
