A360604 Triangle read by rows. T(n, k) = 2^binomial(n - k, 2) * binomial(n - 1, k - 1).

1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 8, 6, 3, 1, 0, 64, 32, 12, 4, 1, 0, 1024, 320, 80, 20, 5, 1, 0, 32768, 6144, 960, 160, 30, 6, 1, 0, 2097152, 229376, 21504, 2240, 280, 42, 7, 1, 0, 268435456, 16777216, 917504, 57344, 4480, 448, 56, 8, 1

Offset

0,8

Links

Table of n, a(n) for n=0..54.

Example

Triangle T(n, k) starts:
[0] 1;
[1] 0,       1;
[2] 0,       1,      1;
[3] 0,       2,      2,     1;
[4] 0,       8,      6,     3,    1;
[5] 0,      64,     32,    12,    4,   1;
[6] 0,    1024,    320,    80,   20,   5,  1;
[7] 0,   32768,   6144,   960,  160,  30,  6, 1;
[8] 0, 2097152, 229376, 21504, 2240, 280, 42, 7, 1;

Maple

T := (n, k) -> 2^binomial(n - k, 2) * binomial(n-1, k-1):
for n from 0 to 9 do seq(T(n, k), k = 0..n) od;

Crossrefs

Cf. A006125 (column 1), A002378 (T(n+2,n)), A130809 (T(n+3,n)), A006896 (row sums).

Sequence in context: A093729 A113080 A174420 * A266318 A011265 A357340

Adjacent sequences: A360601 A360602 A360603 * A360605 A360606 A360607

Keyword

nonn,tabl

Author

Peter Luschny, Feb 23 2023

Status

approved