A329440 - OEIS

%I #13 Nov 14 2019 13:19:18

%S 0,2,1,5,3,1,5,4,3,2,17,13,9,5,1,6,5,4,3,2,1,37,31,25,19,13,7,1,10,9,

%T 8,7,6,5,4,3,18,16,14,12,10,8,6,4,2,18,17,14,13,10,9,6,5,2,1,101,91,

%U 81,71,61,51,41,31,21,11,1,13,12,11,10,9,8,7,6,5,4

%N Triangle read by rows: n-th row gives positions of ones in A329126(n) in decreasing order.

%C Does the n-th row always contain n entries?

%C Do the rows always form an n term arithmetic progression?

%C Conjecture: the last value in each row is A051903(n).

%e Table begins:

%e    0

%e    2,  1

%e    5,  3,  1

%e    5,  4,  3,  2

%e   17, 13,  9,  5,  1

%e    6,  5,  4,  3,  2, 1

%e   37, 31, 25, 19, 13, 7, 1

%e For example, when n = 5, x^17 + x^13 + x^9 + x^5 + x is a multiple of 5 for all integers x > 1.

%Y Cf. A051903, A329126.

%K nonn,tabl

%O 1,2

%A _Peter Kagey_, Nov 13 2019