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A259153 Triangle T(n,k) in which n-th row lists in increasing order the values v whose pi-based arithmetic derivative equals n; n>=0, 1<=k<=A259154(n).

%I A259153 #14 Aug 02 2018 16:27:50
%S A259153 0,1,2,3,5,4,7,11,13,6,17,19,23,29,10,31,8,9,37,41,43,14,47,53,59,61,
%T A259153 15,67,12,71,22,73,79,83,89,26,97,21,101,103,107,109,25,113,34,127,16,
%U A259153 20,131,18,137,139,38,149,151,33,157,163,167,173,35,46,179
%N A259153 Triangle T(n,k) in which n-th row lists in increasing order the values v whose pi-based arithmetic derivative equals n; n>=0, 1<=k<=A259154(n).
%H A259153 Alois P. Heinz, <a href="/A259153/b259153.txt">Rows n = 0..12000, flattened</a>
%F A259153 A258851(T(n,k)) = n.
%F A259153 T(n,1) = A258861(n).
%F A259153 T(n,A259154(n)) = A008578(n+1).
%F A259153 T(n,A259154(n)) = A000040(n) for n>0.
%e A259153 Triangle T(n,k) begins:
%e A259153    0,  1;
%e A259153    2;
%e A259153    3;
%e A259153    5;
%e A259153    4,  7;
%e A259153   11;
%e A259153   13;
%e A259153    6, 17;
%e A259153   19;
%e A259153   23;
%e A259153   29;
%e A259153   10, 31;
%e A259153    8,  9, 37;
%Y A259153 Column k=1 gives A258861.
%Y A259153 Last elements of rows give A008578(n+1).
%Y A259153 Row lengths give A259154.
%Y A259153 Row sums give A259155.
%Y A259153 Cf. A000040, A000720, A258851.
%K A259153 nonn,tabf
%O A259153 0,3
%A A259153 _Alois P. Heinz_, Jun 19 2015