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A073135

Table by antidiagonals of T(n,k) = 2*n*T(n,k-1) - n^2*T(n,k-2) + T(n,k-4) starting with T(n,1) = 1.

1, 2, 1, 3, 4, 1, 4, 12, 6, 1, 6, 32, 27, 8, 1, 10, 81, 108, 48, 10, 1, 17, 200, 406, 256, 75, 12, 1, 28, 488, 1470, 1281, 500, 108, 14, 1, 45, 1184, 5193, 6160, 3126, 864, 147, 16, 1, 72, 2865, 18036, 28832, 18770, 6481, 1372, 192, 18, 1, 116, 6924, 61885, 132352

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..58.

FORMULA

T(n, k) = (A073133(n, k+2) - A073134(n, k+2))/2.

T(n, k) = Sum_{j=0..floor((k-1)/4)} abs(A053122(k-3*j-1, j)*n^(k-4*j-1)).

EXAMPLE

Rows start:

1, 2, 3, 4, 6, 10, 17, ...;

1, 4, 12, 32, 81, 200, 488, ...;