A051550 Numerators in expansion of 1/(10+sqrt(36+x)).

1, -1, 7, -65, 695, -8081, 33101, -422987, 5564765, -224617265, 3076621127, -42757939841, 601443961207, -8546453367505, 122502619954855, -65523500154995, 2857425741902815, -41776517795212585, 1841741396312128685, -27188436143675219435

Offset

0,3

Comments

The program confirms that the "dip" in magnitude near a(15) is correct. - R. J. Mathar, Oct 31 2006

References

B. C. Berndt, Ramanujan's Notebooks Part III, Springer-Verlag, see p. 92, Eq. 2.5

Links

Table of n, a(n) for n=0..19.

Maple

A051550 := proc(n) s := taylor( 1/(10+sqrt(36+x)), x=0, n+1) ; coeftayl(s, x=0, n) ; end: for n from 0 to 30 do printf("%a, ", numer(A051550(n))) ; end: # R. J. Mathar, Oct 31 2006

Mathematica

CoefficientList[Series[1/(10+Sqrt[36+x]), {x, 0, 20}], x]//Numerator (* Harvey P. Dale, Dec 16 2020 *)

Crossrefs

Cf. A051551.

Sequence in context: A264875 A083302 A099342 * A371393 A355163 A300488

Adjacent sequences: A051547 A051548 A051549 * A051551 A051552 A051553

Keyword

sign,frac

Author

N. J. A. Sloane

Status

approved