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A374361 Irregular table T(n, k), n >= 0, 0 <= k < A120880(n), read by rows; the n-th row contains the terms t of A005836 such that n - t also belongs to A005836.

%I A374361 #10 Jul 09 2024 02:21:33
%S A374361 0,0,1,1,0,3,0,1,3,4,1,4,3,3,4,4,0,9,0,1,9,10,1,10,0,3,9,12,0,1,3,4,9,
%T A374361 10,12,13,1,4,10,13,3,12,3,4,12,13,4,13,9,9,10,10,9,12,9,10,12,13,10,
%U A374361 13,12,12,13,13,0,27,0,1,27,28,1,28,0,3,27,30,0,1,3,4,27,28,30,31
%N A374361 Irregular table T(n, k), n >= 0, 0 <= k < A120880(n), read by rows; the n-th row contains the terms t of A005836 such that n - t also belongs to A005836.
%C A374361 In other words, we partition n into pairs of terms of A005836 and list the corresponding terms to get the n-th row.
%H A374361 Rémy Sigrist, <a href="/A374361/b374361.txt">Table of n, a(n) for n = 0..4095</a> (rows for n = 0..3^6-1 flattened)
%F A374361 T(n, 0) = 0 iff n belongs to A005836.
%F A374361 T(n, k) + T(n, A120880(k)-1-k) = n.
%F A374361 T(n, 0) = A374362(n).
%F A374361 T(n, A120880(k)-1) = A374363(n).
%e A374361 Triangle T(n, k) begins:
%e A374361   n   n-th row
%e A374361   --  -----------
%e A374361    0  0
%e A374361    1  0, 1
%e A374361    2  1
%e A374361    3  0, 3
%e A374361    4  0, 1, 3, 4
%e A374361    5  1, 4
%e A374361    6  3
%e A374361    7  3, 4
%e A374361    8  4
%e A374361    9  0, 9
%e A374361   10  0, 1, 9, 10
%e A374361   11  1, 10
%e A374361   12  0, 3, 9, 12
%o A374361 (PARI) row(n) = { my (r = [0], t = 1, d); while (n, d = n % 3; n \= 3; if (d==1, r = concat(r, [v + t | v <- r]), d==2, r = [v + t | v <- r]); t *= 3;); return (r); }
%Y A374361 See A374354 for a similar sequence.
%Y A374361 Cf. A005836, A120880, A374362, A374363.
%K A374361 nonn,base,tabf
%O A374361 0,6
%A A374361 _Rémy Sigrist_, Jul 06 2024