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A177815 Triangle read by rows: binomial(n, m^3).

%I A177815 #15 Apr 18 2024 04:28:15
%S A177815 1,1,1,1,2,1,3,1,4,1,5,1,6,1,7,1,8,1,1,9,9,1,10,45,1,11,165,1,12,495,
%T A177815 1,13,1287,1,14,3003,1,15,6435,1,16,12870,1,17,24310,1,18,43758,1,19,
%U A177815 75582,1,20,125970
%N A177815 Triangle read by rows: binomial(n, m^3).
%C A177815 Row sums are: {1, 2, 3, 4, 5, 6, 7, 8, 10, 19, 56, 177, 508, 1301, 3018, 6451, 12887, 24328, 43777, 75602, 125991,...}.
%C A177815 First length 4 row is: {1, 27, 2220075, 1}.
%e A177815 {1},
%e A177815 {1, 1},
%e A177815 {1, 2},
%e A177815 {1, 3},
%e A177815 {1, 4},
%e A177815 {1, 5},
%e A177815 {1, 6},
%e A177815 {1, 7},
%e A177815 {1, 8, 1},
%e A177815 {1, 9, 9},
%e A177815 {1, 10, 45},
%e A177815 {1, 11, 165},
%e A177815 {1, 12, 495},
%e A177815 {1, 13, 1287},
%e A177815 {1, 14, 3003},
%e A177815 {1, 15, 6435},
%e A177815 {1, 16, 12870},
%e A177815 {1, 17, 24310},
%e A177815 {1, 18, 43758},
%e A177815 {1, 19, 75582},
%e A177815 {1, 20, 125970},
%e A177815 ...
%e A177815 {1, 27, 2220075, 1}
%t A177815 t[n_, m_] = Binomial[n, m^3];
%t A177815 Table[Table[t[n, m], {m, 0, Floor[n^(1/3)]}], {n, 0, 20}];
%t A177815 Flatten[%]
%Y A177815 Cf. A003099, A181543, A000581.
%K A177815 nonn,tabf
%O A177815 0,5
%A A177815 _Roger L. Bagula_, Dec 13 2010