This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A275510 Triangle read by rows, T(n,k) = floor(n/k) - 2*floor(n/(2*k)), for n>=2 and 2<=k<=n; additionally T(1,2) = 0. 1
 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 LINKS FORMULA Let cp(n) denote the cyclotomic polynomials then Product_{k=2..n} cp(k)^T(n, k) = q-factorial(n) / q-factorial(floor(n/2))^2 (cf. A274888). EXAMPLE The triangle starts: [ n] [T(n,k),k=2,3,4,...] [row sum] [ 1] [0] 0 [ 2] [1] 1 [ 3] [1, 1] 2 [ 4] [0, 1, 1] 2 [ 5] [0, 1, 1, 1] 3 [ 6] [1, 0, 1, 1, 1] 4 [ 7] [1, 0, 1, 1, 1, 1] 5 [ 8] [0, 0, 0, 1, 1, 1, 1] 4 [ 9] [0, 1, 0, 1, 1, 1, 1, 1] 6 [10] [1, 1, 0, 0, 1, 1, 1, 1, 1] 7 [11] [1, 1, 0, 0, 1, 1, 1, 1, 1, 1] 8 [12] [0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1] 7 [13] [0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1] 8 [14] [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1] 9 CROSSREFS Cf. A274888, A275495 (row sums). Sequence in context: A189723 A095770 A285972 * A286055 A140318 A060584 Adjacent sequences:  A275507 A275508 A275509 * A275511 A275512 A275513 KEYWORD nonn,tabf AUTHOR Peter Luschny, Jul 31 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 October 21 11:33 EDT 2019. Contains 328296 sequences. (Running on oeis4.)