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A071953 Diagonal T(n,n-2) of triangle in A071951. +0
1
4, 52, 292, 1092, 3192, 7896, 17304, 34584, 64284, 112684, 188188, 301756, 467376, 702576, 1028976, 1472880, 2065908, 2845668, 3856468, 5150068, 6786472, 8834760, 11373960, 14493960, 18296460, 22895964, 28420812, 35014252 (list; graph; listen)
OFFSET

3,1

REFERENCES

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.

FORMULA

(n-2)(n-1)n(n+1)(5n^2-11n+3)/90.

MATHEMATICA

Flatten[ Table[ Sum[(-1)^{r + n - 2}(2r + 1)(r^2 + r)^n/((r + n - 1)!(n - 2 - r)!), {r, 1, n - 2}], {n, 3, 34}]]

CROSSREFS

Sequence in context: A000854 A110908 A101354 this_sequence A144339 A155661 A006760

Adjacent sequences: A071950 A071951 A071952 this_sequence A071954 A071955 A071956

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jun 16 2002

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 19 2002

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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