A002551 Numerators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x). (Formerly M3151 N1276)

0, 1, -3, 43, -95, 12139, -25333, 81227, -498233, 121563469, -246183839, 32808117961, -13219717433, 3226018634857, -8835766426243, 390013167515221, -260612031438103, 36514732926665911, -73104960503491573, 9265088297941326563, -389193444786378151123

Offset

1,3

Comments

Old title: Numerators of coefficients for numerical differentiation.

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..21.

W. G. Bickley and J. C. P. Miller, Numerical differentiation near the limits of a difference table, Phil. Mag., 33 (1942), 1-12 (plus tables).

W. G. Bickley and J. C. P. Miller, Numerical differentiation near the limits of a difference table. [Annotated scanned copy]

Prog

(PARI) a(n) = my(x='x+O('x^n)); numerator(polcoeff(Pol(log(1+x)^2/sqrt(1+x)), n)); \\ Michel Marcus, Oct 31 2014

Crossrefs

Cf. A002552.

Sequence in context: A246994 A142184 A199348 * A127930 A062647 A003525

Adjacent sequences: A002548 A002549 A002550 * A002552 A002553 A002554

Keyword

sign,frac

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Mar 24 2014

Signs from Michel Marcus, Oct 31 2014

Status

approved