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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A215547 Number of standard Young tableaux of shape [7n,7]. 2
 0, 429, 62016, 807300, 5101360, 21732542, 71916768, 199448964, 485325150, 1067658735, 2167714560, 4122884232, 7427426292, 12781794760, 21151379600, 33835482648, 52547352546, 79506102225, 117541332480, 170211285180, 241935349656, 338141745810, 465431207488 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Also the number of binary words with 7n 1's and 7 0's such that for every prefix the number of 1's is >= the number of 0's. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Wikipedia, Young tableau FORMULA G.f.: (6*x^7 -48*x^6 +2808*x^5 +83196*x^4 +355384*x^3 +323184*x^2 +58584*x +429)*x / (x-1)^8. a(n) = C(7*n+7,7)*(7*n-6)/(7*n+1) for n>0, a(0) = 0. MAPLE a:= n-> max(0, binomial(7*n+7, 7)*(7*n-6)/(7*n+1)): seq(a(n), n=0..30); MATHEMATICA Join[{0}, Table[Binomial[7n+7, 7] (7n-6)/(7n+1), {n, 30}]] (* Harvey P. Dale, Jul 24 2016 *) CROSSREFS Row n=7 of A214776. Sequence in context: A270412 A258494 A258395 * A181195 A227597 A321976 Adjacent sequences:  A215544 A215545 A215546 * A215548 A215549 A215550 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 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.

Last modified May 13 15:38 EDT 2021. Contains 343860 sequences. (Running on oeis4.)