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A039646
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Third column of Jabotinsky-triangle A038455 related to A006963.
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2
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1, 18, 335, 7155, 176554, 4985316, 159168428, 5681708100, 224518859136, 9737714177928, 460132506980640, 23537198603711520, 1296157111841533824, 76467514565810332800, 4812260962479036076800, 321826321845522830649600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Explicit formula for a(n-3) using partitions of n into 3 parts: cf. Knuth's paper for f(n,3) n >= 3, formula with f(k) := A006963(k+1) = (2*k-1)!/k!, k >= 1.
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REFERENCES
| D. E. Knuth, Convolution polynomials, The Mathematica J., 2.1 (1992) 67-78.
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FORMULA
| a(n) = sum(binomial(n+2, j)*A006936(j+2)*A039619(n+2-j), j=0..n).
E.g.f.: ln((1-sqrt(1-4*x))/x/2)^3/6. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 02 2003
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CROSSREFS
| A038455, A006963, A039619.
Cf. A039619.
Sequence in context: A041614 A166787 A068771 * A158590 A143168 A127585
Adjacent sequences: A039643 A039644 A039645 * A039647 A039648 A039649
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KEYWORD
| nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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