A002701 -id:A002701 - cp's OEIS frontend

A002702 Coefficients for numerical differentiation.

1, 4, 120, 3024, 151200, 79200, 1513512000, 1513512000, 51459408000, 74662922880, 18068427336960, 133196739984000, 1215553449093984000, 173650492727712000, 3357242859402432000, 101013513093196704000, 2043503369875369321920000

Offset: 2

N. J. A. Sloane

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).

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)).

Cf. A002455 (central factorial numbers), A002701 (numerators).

a(n) = den(6 * A002455(n) / 2^(2*n) * (2*n + 3)!). - Sean A. Irvine, Jun 10 2014

More terms from Sean A. Irvine, Jun 10 2014

A120298 Largest prime factor of the n-th central factorial number A001819(n).

Original entry on oeis.org

5, 7, 41, 479, 59, 266681, 63397, 514639, 178939, 242101, 18500393, 40799043101, 190297, 1844659, 78206663, 616798327, 38512247, 86364397717734821, 421950627598601, 84786899, 52030193, 31411862913089, 1422157053067, 47961582392203, 8408339, 6269019298981

Offset: 2

Alexander Adamchuk, Jul 11 2006

nonn

Daniel Suteu, Table of n, a(n) for n = 2..180

Cf. A001819, A002701, A007406.

Table[Max[FactorInteger[Sum[1/i^2,{i,1,n}]/Product[1/i^2,{i,1,n}]]],{n,2,30}]
Table[FactorInteger[n!^2*HarmonicNumber[n,2]][[-1,1]],{n,2,30}] (* Harvey P. Dale, Jul 29 2023 *)

a(n) = vecmax(factor(n!^2 * sum(k=1, n, 1/k^2))[,1]); \\ Daniel Suteu, Jun 10 2022

a(n) = A006530(A001819(n)). - Daniel Suteu, Jun 10 2022

More terms from Daniel Suteu, Jun 10 2022

cp's OEIS Frontend

A002702 Coefficients for numerical differentiation.

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