|
Search: id:A122506
|
|
|
| A122506 |
|
A symmetrical triangular array based on A018805 constructed by hand by adding ones between the primes and making the result symmetrical. |
|
+0
1
|
|
| 1, 1, 3, 1, 1, 3, 1, 7, 1, 3, 1, 1, 3, 1, 7, 1, 11, 1, 7, 1, 3, 1, 1, 3, 1, 7, 1, 11, 1, 19, 1, 11, 1, 7, 1, 3, 1, 1, 3, 1, 7, 1, 11, 1, 19, 1, 23, 1, 19, 1, 11, 1, 7, 1, 3, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
The first two terms past one come from removing the zeros from coefficients here: Expand[(x^2 - x - 1)*(x^2 + x - 1)] Abs[CoefficientList[1 - 3 x^2 + x^4, x]] {1, 0, 3, 0, 1} Expand[(x^3 - 2*x^2 - x + 1)*(x^3 - x^2 - 2*x + 1)] Abs[CoefficientList[1 - 3 x - x^2 + 7 x^3 - x^4 - 3 x^5 + x^6, x]] {1, 3, 1, 7, 1, 3, 1}
|
|
FORMULA
|
none available at this time
|
|
EXAMPLE
|
1
1, 3, 1
1, 3, 1, 7, 1, 3, 1
1, 3, 1, 7, 1, 11, 1, 7, 1, 3, 1
1, 3, 1, 7, 1, 11, 1, 19, 1, 11, 1, 7, 1, 3, 1
1, 3, 1, 7, 1, 11, 1, 19, 1, 23, 1, 19, 1, 11, 1, 7, 1, 3, 1
|
|
MATHEMATICA
|
a0 = {{1}, {1, 3, 1}, {1, 3, 1, 7, 1, 3, 1}, {1, 3, 1, 7, 1, 11, 1, 7, 1, 3, 1}, {1, 3, 1, 7, 1, 11, 1, 19, 1, 11, 1, 7, 1, 3, 1}, {1, 3, 1, 7, 1, 11, 1, 19, 1, 23, 1, 19, 1, 11, 1, 7, 1, 3, 1}} Flatten[a0]
|
|
CROSSREFS
|
Cf. A018805.
Adjacent sequences: A122503 A122504 A122505 this_sequence A122507 A122508 A122509
Sequence in context: A131781 A082465 A131327 this_sequence A010274 A137728 A054398
|
|
KEYWORD
|
nonn,uned,tabl
|
|
AUTHOR
|
Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 15 2006
|
|
|
Search completed in 0.002 seconds
|
