A118210 Numerators of the coefficients of (x-1)(x-2)... in the interpolating polynomial through the first n primes.

2, 1, 1, -1, 1, -3, 23, -53, 23, -79, 457, -89, 1213, -463, 89, 3667, -457, 1181, -95059, 27967, -123601, 93209, -10741, 29, -392351, 1560269, 73789, -1224791, 36000427, -339667, 280099, -64339153, 22544987, -1599245737, 42785159, -133486139, 5539281131

Offset

1,1

Links

Table of n, a(n) for n=1..37.

Eric Weisstein's World of Mathematics, Magata's Constant

Example

2 + (1 + (1/2 + (-1/6 + (1/8 + (...(-4 + x))*(-3 + x))*(-2 + x))*(-1 + x)

Crossrefs

Cf. A092894, A118211, A118203, A118204.

Sequence in context: A362378 A204929 A362490 * A061399 A161856 A122944

Adjacent sequences: A118207 A118208 A118209 * A118211 A118212 A118213

Keyword

sign,frac

Author

Eric W. Weisstein, Apr 14 2006

Status

approved