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A002702
Coefficients for numerical differentiation.
(Formerly M3709 N1515)
1
1, 4, 120, 3024, 151200, 79200, 1513512000, 1513512000, 51459408000, 74662922880, 18068427336960, 133196739984000, 1215553449093984000, 173650492727712000, 3357242859402432000, 101013513093196704000, 2043503369875369321920000
OFFSET
2,2
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
H. E. Salzer, Coefficients for numerical differentiation with central differences, J. Math. Phys., 22 (1943), 115-135.
H. E. Salzer, Coefficients for numerical differentiation with central differences, J. Math. Phys., 22 (1943), 115-135. [Annotated scanned copy]
T. R. Van Oppolzer, Lehrbuch zur Bahnbestimmung der Kometen und Planeten, Vol. 2, Engelmann, Leipzig, 1880, p. 21 (see denominators of numbers named N(3,2k+1)).
FORMULA
a(n) = den(6 * A002455(n) / 2^(2*n) * (2*n + 3)!). - Sean A. Irvine, Jun 10 2014
CROSSREFS
Cf. A002455 (central factorial numbers), A002701 (numerators).
Sequence in context: A006434 A240397 A347425 * A068204 A203033 A307935
KEYWORD
nonn,frac
EXTENSIONS
More terms from Sean A. Irvine, Jun 10 2014
STATUS
approved