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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A051053 a(n) = binomial(n, floor(n/6)). 7
 1, 1, 1, 1, 1, 1, 6, 7, 8, 9, 10, 11, 66, 78, 91, 105, 120, 136, 816, 969, 1140, 1330, 1540, 1771, 10626, 12650, 14950, 17550, 20475, 23751, 142506, 169911, 201376, 237336, 278256, 324632, 1947792, 2324784, 2760681, 3262623, 3838380, 4496388 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 LINKS Robert Israel, Table of n, a(n) for n = 0..5117 FORMULA From Robert Israel, Mar 11 2018: (Start) Let n = 6*k+j, 0 <= j <= 5. a(n+6)*(k+1)*Product_{m=1..5} (5*k+j+m) = a(n)*Product_{m=1..6} (6*k+j+m). a(n) ~ sqrt(3/(5*Pi*k))*(6/5)^j*(6^6/5^5)^k as k -> infinity. (End) MAPLE seq(binomial(n, floor(n/6)), n=0..60); # Robert Israel, Mar 11 2018 MATHEMATICA Table[Binomial[n, Floor[n/6]], {n, 0, 50}] (* Harvey P. Dale, Dec 18 2013 *) CROSSREFS Cf. A001405, A051033, A051036, A051052. Sequence in context: A162786 A269801 A250048 * A178868 A069838 A067901 Adjacent sequences: A051050 A051051 A051052 * A051054 A051055 A051056 KEYWORD nonn AUTHOR N. J. A. Sloane 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.

Last modified August 8 06:28 EDT 2024. Contains 375020 sequences. (Running on oeis4.)