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A113268
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Partial sums of Catalan numbers A000108 multiplied by powers of -9.
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1
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1, -8, 154, -3491, 88363, -2391695, 67758517, -1984135184, 59572675846, -1824065741672, 56739965057524, -1788027005117150, 56960705737368622, -1831391418128245478, 59351217395117651362, -1936731395137029733043, 63581744945624043237427
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OFFSET
| 0,2
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COMMENTS
| Tenth column (m=9) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
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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).
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CROSSREFS
| Cf. A113267 (m=8).
Sequence in context: A059510 A094059 A171202 * A188408 A089669 A113668
Adjacent sequences: A113265 A113266 A113267 * A113269 A113270 A113271
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KEYWORD
| sign,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005
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