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A357120 Irregular triangle T(n, k), n > 0, k = 1..A278043(n); the n-th row contains, in ascending order, the terms in the greedy tribonacci representation of n.

%I A357120 #10 Sep 14 2022 08:26:26
%S A357120 1,2,1,2,4,1,4,2,4,7,1,7,2,7,1,2,7,4,7,1,4,7,13,1,13,2,13,1,2,13,4,13,
%T A357120 1,4,13,2,4,13,7,13,1,7,13,2,7,13,1,2,7,13,24,1,24,2,24,1,2,24,4,24,1,
%U A357120 4,24,2,4,24,7,24,1,7,24,2,7,24,1,2,7,24,4,7,24
%N A357120 Irregular triangle T(n, k), n > 0, k = 1..A278043(n); the n-th row contains, in ascending order, the terms in the greedy tribonacci representation of n.
%C A357120 See A357121 for the sequence corresponding to lazy tribonacci representations.
%H A357120 Rémy Sigrist, <a href="/A357120/a357120.gp.txt">PARI program</a>
%H A357120 <a href="/index/Z#Zeckendorf">Index entries for sequences related to Zeckendorf expansion of n</a>
%F A357120 T(n, 1) = A275392(n).
%F A357120 Sum_{k = 1..A278043(n)} T(n, k) = n.
%e A357120 Triangle T(n, k) begins:
%e A357120      1: [1]
%e A357120      2: [2]
%e A357120      3: [1, 2]
%e A357120      4: [4]
%e A357120      5: [1, 4]
%e A357120      6: [2, 4]
%e A357120      7: [7]
%e A357120      8: [1, 7]
%e A357120      9: [2, 7]
%e A357120     10: [1, 2, 7]
%e A357120     11: [4, 7]
%e A357120     12: [1, 4, 7]
%e A357120     13: [13]
%e A357120     14: [1, 13]
%e A357120     15: [2, 13]
%o A357120 (PARI) See Links section.
%Y A357120 Cf. A000073, A035516, A035517, A275392, A278043, A278038, A357121.
%K A357120 nonn,tabf
%O A357120 1,2
%A A357120 _Rémy Sigrist_, Sep 12 2022