A078297 Triangle of numerators of Integrate[LegendreP[m,x]LegendreP[n,x],{x,0,1}].

1, 1, 1, 0, 1, 1, -1, 0, 1, 1, 0, -1, 0, 9, 1, 1, 0, -5, 0, 9, 1, 0, 1, 0, -1, 0, 25, 1, -5, 0, 7, 0, -35, 0, 25, 1, 0, -1, 0, 7, 0, -25, 0, 1225, 1, 7, 0, -15, 0, 27, 0, -525, 0, 1225, 1, 0, 7, 0, -27, 0, 189, 0, -245, 0, 3969, 1, -21, 0, 11, 0, -297, 0, 77, 0, -1617, 0, 3969, 1, 0, -3, 0, 77, 0, -55

Offset

0,14

Links

Table of n, a(n) for n=0..83.

Eric Weisstein's World of Mathematics, Legendre Polynomial

Prog

(PARI) T(m, n)=numerator(subst(intformal(pollegendre(m)*pollegendre(n)), 'x, 1))
for(n=0, 9, for(m=0, n, print1(T(m, n)", "))) \\ Charles R Greathouse IV, Mar 19 2017

Crossrefs

Cf. A078298.

Sequence in context: A259314 A266557 A010534 * A189788 A264981 A370240

Adjacent sequences: A078294 A078295 A078296 * A078298 A078299 A078300

Keyword

sign,tabl,frac

Author

Eric W. Weisstein, Nov 21 2002

Status

approved