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A053442
Moments of generalized Motzkin paths.
1
1, 0, 2, 1, 6, 6, 21, 30, 82, 141, 342, 650, 1485, 2982, 6612, 13693, 29922, 63072, 136905, 291618, 631302, 1353441, 2928054, 6303798, 13642117, 29454702, 63791456, 138020533, 299191968, 648376932, 1406836717, 3052671816, 6629649798, 14400972413, 31301837952
OFFSET
2,3
LINKS
R. A. Sulanke, Moments of generalized Motzkin paths, J. Integer Sequences, Vol. 3 (2000), #00.1.
FORMULA
G.f.: 1 / sqrt(1-4*z^2-2*z^3+z^6). - Sean A. Irvine, Dec 25 2021
MATHEMATICA
CoefficientList[Series[1/Sqrt[1 - 4 x^2 - 2 x^3 + x^6], {x, 0, 34}], x], (* Michael De Vlieger, Dec 25 2021 *)
CROSSREFS
Sequence in context: A062820 A113336 A113979 * A019082 A345323 A052636
KEYWORD
nonn,easy,nice
AUTHOR
N. J. A. Sloane, Jan 12 2000
EXTENSIONS
More terms from Reiner Martin, Oct 13 2002
Typos in terms corrected by Sean A. Irvine, Dec 25 2021
STATUS
approved