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 A225203 Table T(n,k) composed of rows equal to: n * (the characteristic function of the multiples of (n+1)), read by downwards antidiagonals. 0
 1, 0, 2, 1, 0, 3, 0, 0, 0, 4, 1, 2, 0, 0, 5, 0, 0, 0, 0, 0, 6, 1, 0, 3, 0, 0, 0, 7, 0, 2, 0, 0, 0, 0, 0, 8, 1, 0, 0, 4, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Column k =1 of the table is the integers, from n=1 in row 1. The n-th row of the table is a repeating pattern, starting with the value of n followed by n instances of zero, as created by the characteristic function of the multiples of (n+1). Sums of the antidiagonals produce A065608. Row 1 is A059841, row 2 = 2*A079978, row 3 = 3*A121262, row 4 = 4*A079998, row 5 = 5*A079979, row 6 = 6*A082784, row 7 = 7*|A014025|. - Boris Putievskiy, May 08 2013 LINKS FORMULA From Boris Putievskiy, May 08 2013: (Start) As table T(n,k)= n*(floor((n+k)/(n+1)-floor((n+k-1)/(n+1)). As linear sequence a(n) = A002260(n)*(floor(A003057(n))/(A002260(n)+1)-floor(A002024(n))/(A002260(n)+1)); a(n)=i*(floor((t+2)/(i+1)-floor((t+1)/(i+1)), where i=n-t*(t+1)/2, t=floor((-1+sqrt(8*n-7))/2). (End) EXAMPLE 1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0 ... 2,0,0,2,0,0,2,0,0,2,0,0,2,0,0,2,0,0 ... 3,0,0,0,3,0,0,0,3,0,0,0,3,0,0,0,3,0 ... 4,0,0,0,0,4,0,0,0,0,4,0,0,0,0,4,0,0 ... 5,0,0,0,0,0,5,0,0,0,0,0,5,0,0,0,0,0 ... 6,0,0,0,0,0,0,6,0,0,0,0,0,0,6,0,0,0 ... 7,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,7,0 ... 8,0,0,0,0,0,0,0,0,8,0,0,0,0,0,0,0,0 ... 9,0,0,0,0,0,0,0,0,0,9,0,0,0,0,0,0,0 ... CROSSREFS Cf. A065608, A002024, A002260,  A003057, A059841, A079978, A121262, A079998, A079979, A082784, A014025. Sequence in context: A199469 A266832 A307772 * A136255 A194812 A305320 Adjacent sequences:  A225200 A225201 A225202 * A225204 A225205 A225206 KEYWORD nonn,tabl AUTHOR Richard R. Forberg, May 01 2013 STATUS approved

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Last modified June 20 05:01 EDT 2019. Contains 324229 sequences. (Running on oeis4.)