A002670 Denominator of constant term in polynomial arising from numerical integration formula. (Formerly M2033 N0805)

1, 2, 12, 72, 240, 2400, 907200, 4233600, 25401600, 1371686400, 251475840000, 5532468480000, 554827553280000, 33659538232320000, 73302994372608000, 4453156908135936000000, 50469111625540608000000, 63553696121051136000000

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..18.

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

Formula

A002669(n)/a(n) = (1 / n!)^2 * Sum_{j=0..n} (-n)^j * A265607(n, j). - Sean A. Irvine, Jul 31 2017

Crossrefs

Cf. A002669.

Sequence in context: A361960 A002630 A009552 * A119921 A322276 A279154

Adjacent sequences: A002667 A002668 A002669 * A002671 A002672 A002673

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Jul 31 2017

Status

approved