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

1, 1, 6, 3, 9, 26, 10, 117, 68, 100, 35, 2574, 4500, 517, 365, 126, 70005, 748616, 199155, 4163, 1302, 462, 2082759, 192426260, 282846568, 10499643, 36180, 4606, 1716, 65061234, 59688349943, 799156187475, 141482705378, 663488532, 341733, 16284

Offset: 0

Author

Peter Luschny, Aug 12 2019

Keywords

• nonn
• tabl

Examples

			Array starts:
n\k [  3    4        5            6                 7 ]
[0]    1,   6,       26,          100,              365, ...            [A125107]
[1]    1,   9,       68,          517,              4163, ...           [A048742]
[2]    3,   117,     4500,        199155,           10499643, ...       [A326995]
[3]    10,  2574,    748616,      282846568,        141482705378, ...   [A327002]
[4]    35,  70005,   192426260,   799156187475,     4961959681629275, ...
[5]    126, 2082759, 59688349943, 3097220486457142, 278271624962638244163, ...
   A001700,
		

Crossrefs

Cf. A327001, A309522, A125107, A048742, A001700, A291973, A326999, A326995, A327002.

Programs

Maple

ListTools:-Flatten([seq(seq(A309522(n-k, k) - A327001(n-k, k), k=3..n), n=3..10)]);

Formula

The columns for k = 0, 1, 2 are suppressed as they are identical 0.

A(0, k) = A000108(k) - A011782(k).

A(1, k) = A000142(k) - A000110(k).

A(2, k) = A002105(k) - A005046(k-1) for k >= 1.

A(3, k) = A018893(k) - A291973(k).

A(4, k) = A326999(k) - A291975(k).