This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A275212 Triangle read by rows, T(n,k) = (n+k+1)! / ([(n-k)/2]! * [(n+k+2)/2]!) with [.] the floor function, for n>=0 and 0<=k<=n. 1
 1, 2, 3, 3, 12, 20, 12, 20, 120, 210, 10, 120, 210, 1680, 3024, 60, 105, 1680, 3024, 30240, 55440, 35, 840, 1512, 30240, 55440, 665280, 1235520, 280, 504, 15120, 27720, 665280, 1235520, 17297280, 32432400, 126, 5040, 9240, 332640, 617760, 17297280, 32432400, 518918400, 980179200 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE Triangle starts: [0] [1] [1] [2, 3] [2] [3, 12, 20] [3] [12, 20, 120, 210] [4] [10, 120, 210, 1680, 3024] [5] [60, 105, 1680, 3024, 30240, 55440] [6] [35, 840, 1512, 30240, 55440, 665280, 1235520] [7] [280, 504, 15120, 27720, 665280, 1235520, 17297280, 32432400] MATHEMATICA Table[(n+k+1)!/(Floor[(n-k)/2]!Floor[(n+k+2)/2]!), {n, 0, 10}, {k, 0, n}]// Flatten (* Harvey P. Dale, Mar 27 2019 *) PROG (Sage) def T(n, k):     return factorial(n+k+1)//(factorial((n-k)//2)*factorial((n+k+2)//2)) for n in (0..7): print [T(n, k) for k in (0..n)] CROSSREFS Cf. A001813 (subdiagonal), A006963 (main diagonal), A212303 (first column). Sequence in context: A232933 A303700 A196837 * A127003 A211673 A184178 Adjacent sequences:  A275209 A275210 A275211 * A275213 A275214 A275215 KEYWORD nonn,tabl AUTHOR Peter Luschny, Jul 20 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.

Last modified May 19 23:16 EDT 2019. Contains 323411 sequences. (Running on oeis4.)