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Search: id:A071952
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| 1, 40, 1092, 25664, 561104, 11807616, 243248704, 4950550528, 100040447232, 2013177300992, 40412056994816, 810023815790592, 16221871691714560, 324694197936160768, 6496965245491888128, 129976281056339296256
(list; graph; listen)
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OFFSET
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4,2
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REFERENCES
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W. N. Everitt, L. L. Littlejohn and R. Wellman, Legendre polynomials, Legendre-Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression, J. Comput. Appl. Math. 148, 2002, 213-238.
L. L. Littlejohn and R. Wellman, A general left-definite theory for certain self-adjoint operators with applications to differential equations, J. Differential Equations, 181(2), 2002, 280-339.
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FORMULA
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a(n+4)= A071951(n+4, 4) = (- 7*2^n + 405*6^n - 2268*12^n + 2500*20^n)/630, n>=0. G.f.: (x^4)/((1-2*1*x)*(1-3*2*x)*(1-4*3*x)*(1-5*4*x)). - Wolfdieter Lang, Nov 07 2003
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MATHEMATICA
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Flatten[ Table[ Sum[(-1)^{r + 4}(2r + 1)(r^2 + r)^n/((r + 5)!(4 - r)!), {r, 1, 4}], {n, 4, 20}]]
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CROSSREFS
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Cf. A000079, A016129, A015309, A089278, A089500.
Adjacent sequences: A071949 A071950 A071951 this_sequence A071953 A071954 A071955
Sequence in context: A075907 A062143 A124100 this_sequence A004385 A061650 A006101
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KEYWORD
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nonn
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AUTHOR
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njas, Jun 16 2002
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 19 2002
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