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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). 4

%I

%S 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 15,67,12,71,22,73,79,83,89,26,97,21,101,103,107,109,25,113,34,127,16,

%U 20,131,18,137,139,38,149,151,33,157,163,167,173,35,46,179

%N 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 Alois P. Heinz, <a href="/A259153/b259153.txt">Rows n = 0..12000, flattened</a>

%F A258851(T(n,k)) = n.

%F T(n,1) = A258861(n).

%F T(n,A259154(n)) = A008578(n+1).

%F T(n,A259154(n)) = A000040(n) for n>0.

%e Triangle T(n,k) begins:

%e 0, 1;

%e 2;

%e 3;

%e 5;

%e 4, 7;

%e 11;

%e 13;

%e 6, 17;

%e 19;

%e 23;

%e 29;

%e 10, 31;

%e 8, 9, 37;

%Y Column k=1 gives A258861.

%Y Last elements of rows give A008578(n+1).

%Y Row lengths give A259154.

%Y Row sums give A259155.

%Y Cf. A000040, A000720, A258851.

%K nonn,tabf

%O 0,3

%A _Alois P. Heinz_, Jun 19 2015

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Last modified August 12 12:23 EDT 2020. Contains 336439 sequences. (Running on oeis4.)