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

0,3

Links

Table of n, a(n) for n=0..35.

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).

Example

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,

Maple

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

Crossrefs

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

Sequence in context: A214497 A177015 A355971 * A249948 A066070 A336319

Adjacent sequences: A326997 A326998 A326999 * A327001 A327002 A327003

Keyword

nonn,tabl

Author

Peter Luschny, Aug 12 2019

Status

approved