|
| |
|
|
A119375
|
|
Diagonal above the central terms of pendular trinomial triangle A119369, ignoring leading zeros.
|
|
7
| |
|
|
1, 3, 11, 40, 149, 564, 2166, 8420, 33074, 131085, 523599, 2105727, 8519469, 34652696, 141621164, 581266730, 2394961851, 9902433681, 41074316737, 170869972460, 712729001716, 2980264528670, 12490379959184, 52458339164169
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
FORMULA
| G.f.: A(x) = B(x)*(G(x) - 1)/x^2 = B(x)*(B(x) - 1)/(x+x^2 - x^2*B(x)), where B(x) is g.f. of A119370 and G(x) is g.f. of A119371 (central terms of A119369).
|
|
|
PROG
| (PARI) {a(n)=polcoeff(2/((1+x^2)+sqrt((1+x^2)^2-4*x*(1+x)+x^3*O(x^n)))* (2*(1+x)/(1+4*x+x^2 + sqrt((1+4*x+x^2)^2-4*x*(1+x)*(3+2*x)+x^3*O(x^n)))-1)/x^2, n)}
|
|
|
CROSSREFS
| Cf. A119369, A119370, A119371, A119372, A119373, A119374, A119376.
Sequence in context: A108153 A052941 A014301 * A149063 A149064 A149065
Adjacent sequences: A119372 A119373 A119374 * A119376 A119377 A119378
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), May 17 2006
|
| |
|
|
