|
Search: id:A113268
|
|
|
| A113268 |
|
Partial sums of Catalan numbers A000108 multiplied by powers of -9. |
|
+0
2
|
|
| 1, -8, 154, -3491, 88363, -2391695, 67758517, -1984135184, 59572675846, -1824065741672, 56739965057524, -1788027005117150, 56960705737368622, -1831391418128245478, 59351217395117651362, -1936731395137029733043, 63581744945624043237427
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Tenth column (m=9) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
|
|
FORMULA
|
a(n)= A112707(n+9, 9), n>=0.
G.f.: c(-9*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(9*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*9^n} and {(-1)^n}, where C(n):=A000108(n).
|
|
CROSSREFS
|
Cf. A113267 (m=8).
Sequence in context: A003400 A059510 A094059 this_sequence A089669 A113668 A120348
Adjacent sequences: A113265 A113266 A113267 this_sequence A113269 A113270 A113271
|
|
KEYWORD
|
sign,easy
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005
|
|
|
Search completed in 0.002 seconds
|
