cp's OEIS Frontend

A352242 Regular triangle T(n,k) = (n-k)*(n^3-k^3) for n>=2 and 1 <= k <= n-1, read by rows.

%I A352242 #15 Feb 10 2025 12:06:06
%S A352242 7,52,19,189,112,37,496,351,196,61,1075,832,567,304,91,2052,1675,1264,
%T A352242 837,436,127,3577,3024,2425,1792,1161,592,169,5824,5047,4212,3325,
%U A352242 2416,1539,772,217,8991,7936,6811,5616,4375,3136,1971,976,271,13300,11907,10432,8869,7236,5575,3952,2457,1204,331
%N A352242 Regular triangle T(n,k) = (n-k)*(n^3-k^3) for n>=2 and 1 <= k <= n-1, read by rows.
%H A352242 Michael De Vlieger, <a href="/A352242/b352242.txt">Table of n, a(n) for n = 2..11176</a> (rows n = 2..150, flattened)
%F A352242 T(n,k) = A055461(n,k)*A132111(n,k). - _R. J. Mathar_, Feb 10 2025
%e A352242 Triangle begins:
%e A352242      7;
%e A352242     52,   19;
%e A352242    189,  112,   37;
%e A352242    496,  351,  196,  61;
%e A352242   1075,  832,  567, 304,  91;
%e A352242   2052, 1675, 1264, 837, 436, 127;
%e A352242   ...
%t A352242 Table[(n - k) (n^3 - k^3), {n, 2, 11}, {k, n - 1}] // Flatten (* _Michael De Vlieger_, Mar 09 2022 *)
%o A352242 (PARI) row(n) = vector(n-1, k, (n-k)*(n^3-k^3));
%Y A352242 Cf. A003215 (right diagonal), A138849 (left border).
%Y A352242 Cf. A352243, A352244.
%Y A352242 Cf. A055461, A132111.
%K A352242 nonn,tabl,easy
%O A352242 2,1
%A A352242 _Michel Marcus_, Mar 09 2022