|
Search: id:A140414
|
|
|
| A140414 |
|
Sequence identical to half its p-th differences and Jacobsthal numbers.Successive recurrences on line. |
|
+0
2
|
|
| 3, 2, 1, 3, -3, 3, 4, -6, 4, 1, 5, -10, 10, -5, 3, 6, -15, 20, -15, 6, 1, 7, -21, 35, -35, 21, -7, 3, 8, -28, 56, -70, 56, -28, 8, 3, 9, -36, 84, -126, 126, -84, 36, -9, 3, 10, -45, 120, -210, 252, -210, 120, -45, 10, 1
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
FORMULA
|
Triangle also based on A014410(n) signed but from third term (*). 3; p=1 A000244 2, 1; p=2 A001045 Jacobsthal 3, -3, 3; p=3 A052103,A136297,A137256 4, -6, 4, 1; p=4 A119330 5, -10, 10, -5, 3; 6, -15, 20, -15, 6, 1; 7, -21, 35, -35, 21, -7, 3; Rows sum is ever 3.Absolute rows sum is b(n)= 3, 3, 9, 15, 33, 63, 129 =A062510(n+1)=3*A001045(n+1). b(n) - period 2:repeat 3, 1 = 0, 2, 6, 14, 30, 62, 126 = A000918(n+1).With a(n) we associate significant period 6:repeat 3, 2, 4, 1, 2, 0 twice linked to Jacobsthal numbers.This sequence comes from North-East diagonal sums.Studied in a next submission.
(*) Thanks to R. J. Mathar. See A135356.
|
|
CROSSREFS
|
Sequence in context: A112746 A107460 A128262 this_sequence A129514 A010267 A023636
Adjacent sequences: A140411 A140412 A140413 this_sequence A140415 A140416 A140417
|
|
KEYWORD
|
sign,uned
|
|
AUTHOR
|
Paul Curtz (bpcrtz(AT)free.fr), Jun 25 2008
|
|
|
Search completed in 0.002 seconds
|
