OFFSET
0,5
LINKS
Paul Barry, Three Études on a sequence transformation pipeline, arXiv:1803.06408 [math.CO], 2018.
FORMULA
EXAMPLE
Table begins:
1
1 1
1 4 4
1 11 34 34
1 26 180 496 496
1 57 768 4288 11056 11056
MATHEMATICA
T[n_, 0] := 1; T[n_, 1] := 2^(n+1) - n - 2; T[n_, n_] := 2^(n+1)*(2^(2n+2) - 1)*Abs[ BernoulliB[2n + 2]]/ (n + 1); T[n_, k_] := (j + 1)T[n - 1, j] + (n - j + 1)T[n, j - 1]); Flatten[ Table[ T[n, k], {n, 0, 8}, {k, 0, n}]] (* Robert G. Wilson v, Jul 23 2004 *)
CROSSREFS
KEYWORD
AUTHOR
Paul Boddington, Jul 22 2004
EXTENSIONS
Edited and extended by Robert G. Wilson v, Jul 23 2004
STATUS
approved