login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A261419 Numerators of coefficients in Taylor series expansion of sqrt( 1 + Sum_{k>=1} k^2*x^k ). 0
1, 1, 15, 57, 571, 919, 1531, 2313, 193107, 923755, 3870833, -2470257, -146827409, -230596717, 2290003475, 13080152617, 253889113987, -1578843080909, -15542657972939, -10764297242445, 612468847320021, 2467732201838601, 847831210033293, -57573918082836705 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

EXAMPLE

The coefficients are 1, 1/2, 7/8, 25/16, 427/128, 1911/256, 18051/1024, 87945/2048, 3518515/32768, 17943211/65536, 185961113/262144, 976288495/524288, 20727407743/4194304, 111039591475/8388608, 1199227922235/33554432, 6520801221225/67108864,  ...

CROSSREFS

The denominators appear to be A046161.

Sequence in context: A184223 A084815 A240152 * A183942 A012691 A020187

Adjacent sequences:  A261416 A261417 A261418 * A261420 A261421 A261422

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Aug 27 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified May 23 18:23 EDT 2017. Contains 286926 sequences.