OFFSET
2,3
REFERENCES
H. T. Davis, Tables of the Mathematical Functions. Vols. 1 and 2, 2nd ed., 1963, Vol. 3 (with V. J. Fisher), 1962; Principia Press of Trinity Univ., San Antonio, TX, Vol. 2, p. 283.
S. A. Joffe, Calculation of the first thirty-two Eulerian numbers from central differences of zero, Quart. J. Pure Appl. Math. 47 (1914), 103-126.
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 2..236
FORMULA
a(n) ~ sqrt(Pi) * 2^n * n^(2*n+5/2) / (36 * exp(2*n)). - Vaclav Kotesovec, Apr 25 2014
MAPLE
T:=proc(n, k) option remember;
if k = 0 or k > n then 0
elif k=1 then 1
else k*(2*k-1)*T(n-1, k-1)+k^2*T(n-1, k); fi;
end;
[seq(T(n, n-2), n=2..30)];
MATHEMATICA
T[n_, k_] /; 1 <= k <= n := T[n, k] = k (2 k - 1) T[n - 1, k - 1] + k^2 T[n - 1, k]; T[_, 1] = 1; T[_, _] = 0;
a[n_] := T[n, n - 2]
Array[a, 15, 2] (* Jean-François Alcover, Jul 03 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 22 2014
STATUS
approved