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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A277060 a(n) = 1/2 * Sum_{k=0..n} (binomial(n,k) * binomial(n+k,k+1))^2 for n >= 0. 1
0, 1, 28, 729, 19376, 529575, 14835780, 424231465, 12338211520, 363931754949, 10862528888300, 327501958094003, 9959845931792784, 305175084350065267, 9412306255856822388, 291982561878565118025, 9104382992541189221120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..656

FORMULA

a(n) = n^2 * A074635(n)/2.

PROG

(PARI) a(n)=my(t=n); if(n<2, return(n)); sum(k=1, n, t*=(n-k+1)*(n+k)/k/(k+1); t^2, n^2)/2 \\ Charles R Greathouse IV, Nov 07 2016

CROSSREFS

Cf. 1/2 * Sum_{k=0..n} (binomial(n,k) * binomial(n+k,k+1))^m: A050151 (m=1), this sequence (m=2).

Sequence in context: A004293 A012808 A226991 * A229463 A097834 A162830

Adjacent sequences:  A277057 A277058 A277059 * A277061 A277062 A277063

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 07 2016

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 June 3 05:29 EDT 2020. Contains 334798 sequences. (Running on oeis4.)