|
Search: id:A113265
|
|
|
| A113265 |
|
Partial sums of Catalan numbers A000108 multiplied by powers of -6. |
|
+0
2
|
|
| 1, -5, 67, -1013, 17131, -309461, 5849131, -114243413, 2287607467, -46710150485, 968879741611, -20358507992405, 432438339283627, -9270351245202773, 200309903779703467, -4358060643012007253, 95389812498547780267, -2099063396615767545173
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Seventh column (m=6) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
|
|
FORMULA
|
a(n)= A112707(n+6, 6), n>=0.
G.f.: c(-6*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.
G.f. for unsigned sequence: c(6*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*6^n} and {(-1)^n}, where C(n):=A000108(n).
|
|
CROSSREFS
|
Cf. A113264 (m=5).
Adjacent sequences: A113262 A113263 A113264 this_sequence A113266 A113267 A113268
Sequence in context: A057171 A142009 A067393 this_sequence A124435 A123034 A113064
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005
|
|
|
Search completed in 0.002 seconds
|
