cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A365372 Array read by ascending antidiagonals: A(n, k) = n*(k*n^2 - 1) with k > 0.

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%I A365372 #7 Sep 03 2023 11:13:18
%S A365372 0,6,1,24,14,2,60,51,22,3,120,124,78,30,4,210,245,188,105,38,5,336,
%T A365372 426,370,252,132,46,6,504,679,642,495,316,159,54,7,720,1016,1022,858,
%U A365372 620,380,186,62,8,990,1449,1528,1365,1074,745,444,213,70,9,1320,1990,2178,2040,1708,1290,870,508,240,78,10
%N A365372 Array read by ascending antidiagonals: A(n, k) = n*(k*n^2 - 1) with k > 0.
%F A365372 G.f.: x*y*(x^2*y + y - 2*x*(y - 3))/((1 - x)^4*(1 - y)^2).
%F A365372 1st column: A(n, 1) = A007531(n+1).
%F A365372 2nd row: A(2, n) = A017137(n-1).
%e A365372 The array begins:
%e A365372     0,   1,   2,   3,    4,    5, ...
%e A365372     6,  14,  22,  30,   38,   46, ...
%e A365372    24,  51,  78, 105,  132,  159, ...
%e A365372    60, 124, 188, 252,  316,  380, ...
%e A365372   120, 245, 370, 495,  620,  745, ...
%e A365372   210, 426, 642, 858, 1074, 1290, ...
%e A365372   ...
%t A365372 A[n_,k_]:=n(k n^2-1); Table[A[n-k+1,k],{n,11},{k,n}]//Flatten
%Y A365372 Cf. A007531, A017137, A035328 (k=4), A058895 (main diagonal), A365373 (antidiagonal sums).
%K A365372 nonn,easy,tabl
%O A365372 1,2
%A A365372 _Stefano Spezia_, Sep 02 2023