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A114000
Triangle read by rows: column k has g.f. = Sum_{k>0} x^k/(1-x^(2*k+1)).
3
1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
OFFSET
0,1
COMMENTS
Number triangle related to divisors of 2n+1. Row n has a 1 in column k iff 2*k+1 divides 2*n+1. - N. J. A. Sloane, Dec 23 2020
LINKS
Paolo Xausa, Table of n, a(n) for n = 0..11324 (rows 0..150 of the triangle, flattened).
EXAMPLE
Triangle begins
1
1, 1,
1, 0, 1,
1, 0, 0, 1,
1, 1, 0, 0, 1,
1, 0, 0, 0, 0, 1,
1, 0, 0, 0, 0, 0, 1,
1, 1, 1, 0, 0, 0, 0, 1,
1, 0, 0, 0, 0, 0, 0, 0, 1,
1, 0, 0, 0, 0, 0, 0, 0, 0, 1,
1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1,
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1
...
MATHEMATICA
A114000row[n_]:=Boole[Divisible[2n+1, 2Range[0, n]+1]];
Array[A114000row, 20, 0] (* Paolo Xausa, Dec 04 2023 *)
CROSSREFS
Rows sums are A099774. Rows as decimals give A114001.
Sequence in context: A158856 A154957 A140865 * A131218 A174391 A343910
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Nov 12 2005
EXTENSIONS
Edited by N. J. A. Sloane, Dec 23 2020
STATUS
approved