cp's OEIS Frontend

A327000 A(n, k) = A309522(n, k) - A327001(n, k) for n >= 0 and k >= 3, square array read by ascending antidiagonals.

%I A327000 #20 Aug 13 2019 09:04:40
%S A327000 1,1,6,3,9,26,10,117,68,100,35,2574,4500,517,365,126,70005,748616,
%T A327000 199155,4163,1302,462,2082759,192426260,282846568,10499643,36180,4606,
%U A327000 1716,65061234,59688349943,799156187475,141482705378,663488532,341733,16284
%N A327000 A(n, k) = A309522(n, k) - A327001(n, k) for n >= 0 and k >= 3, square array read by ascending antidiagonals.
%F A327000 The columns for k = 0, 1, 2 are suppressed as they are identical 0.
%F A327000 A(0, k) = A000108(k) - A011782(k).
%F A327000 A(1, k) = A000142(k) - A000110(k).
%F A327000 A(2, k) = A002105(k) - A005046(k-1) for k >= 1.
%F A327000 A(3, k) = A018893(k) - A291973(k).
%F A327000 A(4, k) = A326999(k) - A291975(k).
%e A327000 Array starts:
%e A327000 n\k [  3    4        5            6                 7 ]
%e A327000 [0]    1,   6,       26,          100,              365, ...            [A125107]
%e A327000 [1]    1,   9,       68,          517,              4163, ...           [A048742]
%e A327000 [2]    3,   117,     4500,        199155,           10499643, ...       [A326995]
%e A327000 [3]    10,  2574,    748616,      282846568,        141482705378, ...   [A327002]
%e A327000 [4]    35,  70005,   192426260,   799156187475,     4961959681629275, ...
%e A327000 [5]    126, 2082759, 59688349943, 3097220486457142, 278271624962638244163, ...
%e A327000    A001700,
%p A327000 ListTools:-Flatten([seq(seq(A309522(n-k, k) - A327001(n-k, k), k=3..n), n=3..10)]);
%Y A327000 Cf. A327001, A309522, A125107, A048742, A001700, A291973, A326999, A326995, A327002.
%K A327000 nonn,tabl
%O A327000 0,3
%A A327000 _Peter Luschny_, Aug 12 2019