A002669 Numerator of constant term in polynomial arising from numerical integration formula. (Formerly M3119 N1264)

-1, 3, -29, 289, -1627, 27769, -18044381, 145511171, -1514611753, 142324922009, -45517196560877, 1750347891902329, -307338038704738637, 32691361126849302587, -124979231585030156687, 13342245096512975609370931, -265966517264946845952131041

Offset

1,2

References

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=1..17.

H. E. Salzer, Equally-weighted quadrature formulas for inversion integrals, Math. Comp., 11 (1957), 197-200.

Formula

a(n)/A002670(n) = (1 / n!)^2 * Sum_{j=0..n} (-n)^j * A265607(n, j). - Sean A. Irvine, Jul 31 2017

Crossrefs

Cf. A002670.

Sequence in context: A025186 A140780 A268493 * A340990 A112711 A155651

Adjacent sequences: A002666 A002667 A002668 * A002670 A002671 A002672

Keyword

sign,frac

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Jul 31 2017

Status

approved