login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A190948 Numerator of Sum(binomial(n,k)*(-1)^k/(k^2+1),k=0..n). 1
1, 1, 1, 0, -12, -54, -2628, -77616, -86688, -3837456, -6295968, -5189982336, -773398378368, -60614059968, -710855139456, -274917009540096, -70812306032928768, -20799092342375424, -53842565061863424, -48391925819124400128, -3845848802828440117248, -64663161151688486424576, -30966053952082739476783104 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

REFERENCES

Flajolet, Philippe; and Sedgewick, Robert; Mellin transforms and asymptotics: finite differences and Rice's integrals. Theoret. Comput. Sci. 144 (1995), 101-124.

LINKS

Table of n, a(n) for n=0..22.

EXAMPLE

1, 1/2, 1/5, 0, -12/85, -54/221, -2628/8177, -77616/204425, -86688/204425, ...

MAPLE

T:=n->add(binomial(n, k)*(-1)^k/(k^2+1), k=0..n);

MATHEMATICA

Table[Sum[(Binomial[n, k](-1)^k)/(k^2+1), {k, 0, n}], {n, 0, 30}]//Numerator (* Harvey P. Dale, Jul 25 2020 *)

CROSSREFS

Cf. A190950.

Sequence in context: A137938 A009726 A230920 * A275249 A143856 A207102

Adjacent sequences: A190945 A190946 A190947 * A190949 A190950 A190951

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, May 24 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 8 04:10 EST 2023. Contains 360134 sequences. (Running on oeis4.)