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

Bruce C. Berndt, Ramanujan's Notebooks Part III, Springer-Verlag, 1991, see p. 92, Eq. 2.5.

Links

Amiram Eldar, Table of n, a(n) for n = 0..350

Example

Fractions begin with 1/16, -1/3072, 7/1769472, -65/1019215872, 695/587068342272, -8081/338151365148672, 33101/64925062108545024, -422987/37396835774521933824, 5564765/21540577406124633882624, ...

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 (denominators).

Sequence in context: A264875 A083302 A099342 * A371393 A378691 A355163

Adjacent sequences: A051547 A051548 A051549 * A051551 A051552 A051553

Keyword

sign,frac,changed

Author

N. J. A. Sloane

Status

approved