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A329440 Triangle read by rows: n-th row gives positions of ones in A329126(n) in decreasing order.

%I A329440 #13 Nov 14 2019 13:19:18
%S A329440 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 A329440 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 A329440 81,71,61,51,41,31,21,11,1,13,12,11,10,9,8,7,6,5,4
%N A329440 Triangle read by rows: n-th row gives positions of ones in A329126(n) in decreasing order.
%C A329440 Does the n-th row always contain n entries?
%C A329440 Do the rows always form an n term arithmetic progression?
%C A329440 Conjecture: the last value in each row is A051903(n).
%e A329440 Table begins:
%e A329440    0
%e A329440    2,  1
%e A329440    5,  3,  1
%e A329440    5,  4,  3,  2
%e A329440   17, 13,  9,  5,  1
%e A329440    6,  5,  4,  3,  2, 1
%e A329440   37, 31, 25, 19, 13, 7, 1
%e A329440 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 A329440 Cf. A051903, A329126.
%K A329440 nonn,tabl
%O A329440 1,2
%A A329440 _Peter Kagey_, Nov 13 2019