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A008556
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Triangle of coefficients of Legendre polynomials 2^n P_n (x).
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0
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1, 2, 6, 2, 20, 12, 70, 60, 6, 252, 280, 60, 924, 1260, 420, 20, 3432, 5544, 2520, 280, 12870, 24024, 13860, 2520, 70, 48620, 102960, 72072, 18480, 1260, 184756, 437580, 360360, 120120, 13860, 252, 705432, 1847560, 1750320, 720720, 120120, 5544
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 798.
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LINKS
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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MAPLE
| series(1/sqrt(1-2*x*z+z^2), z, 20): for n to 19 do print(2^n*coeff(%, z, n)); od;
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CROSSREFS
| Sequence in context: A100892 A126287 A174857 * A096485 A125032 A131980
Adjacent sequences: A008553 A008554 A008555 * A008557 A008558 A008559
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KEYWORD
| nonn,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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