|
| |
|
|
A114620
|
|
2*A084158 (twice Pell triangles).
|
|
1
| |
|
|
0, 2, 10, 60, 348, 2030, 11830, 68952, 401880, 2342330, 13652098, 79570260, 463769460, 2703046502, 15754509550, 91824010800, 535189555248, 3119313320690, 18180690368890, 105964828892652, 617608282987020
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Cross-referenced sequences A116484, A001109, A108475, A090390 are also generated by A*B given in the program code.
Related to the reciprocals of the differences between successive convergents of the continued fraction of sqrt(2) (i.e. 1, 2, -10, 60, -348, 2030, -11830, 68952,...). 1/1 + 1/2 - 1/10 + 1/60 - 1/348 + 1/2030 = sqrt(2). 2, 10, 60, ... are products of the denominators of two successive convergents of sqrt(2) (e.g. 11830 = 70*169, cf. A000129 (Pell numbers)). - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Feb 28 2006
|
|
|
FORMULA
| G.f. 2*x/((x+1)*(x^2-6*x+1))
|
|
|
PROG
| Floretion Algebra Multiplication Program, FAMP Code: 1jesleftseq[A*B] with A = - .5'i + .5'j - .5i' + .5j' + 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj' and B = - .5'j + .5'k - .5j' + .5k' - 'ii' - .5'ij' - .5'ik' - .5'ji' - .5'ki'
|
|
|
CROSSREFS
| Cf. A116484, A001109, A108475, A090390.
Cf. A000129.
Sequence in context: A029725 A026161 A025188 * A173613 A004981 A137571
Adjacent sequences: A114617 A114618 A114619 * A114621 A114622 A114623
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 17 2006
|
| |
|
|
