|
Search: id:A076037
|
|
|
| A076037 |
|
Square array read by antidiagonals in which row n has g.f. (1-(n-1)*x*C)/(1-n*x*C) where C = (1/2-1/2*(1-4*x)^(1/2))/x = g.f. for Catalan numbers A000108. |
|
+0
2
|
|
| 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 3, 5, 5, 1, 1, 4, 10, 14, 14, 1, 1, 5, 17, 35, 42, 42, 1, 1, 6, 26, 74, 126, 132, 132, 1, 1, 7, 37, 137, 326, 462, 429, 429, 1, 1, 8, 50, 230, 726, 1446, 1716, 1430, 1430, 1, 1, 9, 65, 359, 1434, 3858, 6441, 6435, 4862, 4862, 1, 1, 10, 82
(list; table; graph; listen)
|
|
|
OFFSET
|
0,9
|
|
|
EXAMPLE
|
Array begins
1 1 1 2 5 14 42 ... (n=0)
1 1 2 5 14 42 132 ... (n=1)
1 1 3 10 35 126 ... (n=2)
1 1 4 17 74 326 ...
|
|
PROGRAM
|
(PARI) C(x)=(1/2-1/2*(1-4*x)^(1/2))/x; D(x)=(1-(m-1)*x*C(x))/(1-m*x*C(x)); for(i=0, 15, forstep(m=i, 0, -1, print1(polcoeff(D(x), i-m), ", ")); print()) (Klasen)
|
|
CROSSREFS
|
Rows give A000108, A000108, A001700, A049027, A076025, A076026. Cf. A076038, A067347.
Sequence in context: A157103 A135966 A060351 this_sequence A076263 A008302 A131791
Adjacent sequences: A076034 A076035 A076036 this_sequence A076038 A076039 A076040
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Oct 29 2002
|
|
EXTENSIONS
|
More terms from Lambert Klasen (lambert.klasen(AT)gmx.de), Jan 12 2005
|
|
|
Search completed in 0.002 seconds
|
