login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A207320 a(n) = Sum_{k=0..n-1} (-1)^k*k^2*A000172(k). 0
0, 0, -2, 38, -466, 5070, -51230, 495394, -4647646, 42658722, -385096770, 3431429230, -30256897090, 264500216510, -2295570216930, 19801160761630, -169902404575970, 1451166299240222, -12344920792691958, 104644181977065306, -884232602452034390, 7450498211688604010, -62617113713498946622, 525042133132770041538 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

Z.-W. Sun, Congruences for Franel numbers, arXiv preprint arXiv:1112.1034, 2011.

MATHEMATICA

a172[n_] := Sum[Binomial[2k, n] Binomial[2k, k] Binomial[2(n-k), n-k], {k, 0, n}]/2^n;

a[n_] := Sum[(-1)^k k^2 a172[k], {k, 0, n-1}];

Table[a[n], {n, 0, 23}] (* Jean-Fran├žois Alcover, Feb 12 2019 *)

CROSSREFS

Sequence in context: A216357 A046845 A098772 * A262585 A208240 A075796

Adjacent sequences:  A207317 A207318 A207319 * A207321 A207322 A207323

KEYWORD

sign

AUTHOR

N. J. A. Sloane, Feb 16 2012

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 04:17 EST 2020. Contains 331031 sequences. (Running on oeis4.)