A002461 Coefficients of Legendre polynomials. (Formerly M3072 N1246)

1, 3, 20, 35, 126, 231, 3432, 6435, 24310, 46189, 352716, 676039, 2600150, 5014575, 155117520, 300540195, 1166803110, 2268783825, 17672631900, 34461632205, 134564468610, 263012370465, 4116715363800, 8061900920775, 31602651609438, 61989816618513, 486734856412028

Offset

2,2

References

A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 362.

G. Prévost, Tables de Fonctions Sphériques. Gauthier-Villars, Paris, 1933, pp. 156-157.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=2..28.

Formula

1 if n=2, n * |A002596(n)| else. - Ralf Stephan, Sep 01 2003

Prog

(PARI) a(n) = if (n==2, 1, n*abs(numerator((1/(1-2*n))*binomial(2*n, n)/(4^n)))); \\ Michel Marcus, Feb 02 2015

Crossrefs

Sequence in context: A372976 A075358 A352810 * A254501 A031106 A337478

Adjacent sequences: A002458 A002459 A002460 * A002462 A002463 A002464

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Michel Marcus, Feb 02 2015

Status

approved