A089519 Fourth column (k=6) of array A078741 ((3,3)-Stirling2).

1, 882, 186876, 28245672, 3762380016, 474431543712, 58322293189056, 7082435837377152, 854925864902090496, 102893307861680404992, 12365333752840511118336, 1484928368468173355231232

Offset

0,2

References

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem, Phys. Lett. A 309 (2003) 198-205.

Links

Table of n, a(n) for n=0..11.

P. Blasiak, K. A. Penson and A. I. Solomon, The general boson normal ordering problem.

Formula

G.f.: (1+672*x+14400*x^2)/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)*(1-6*5*4*x)).

a(n)= 20*(6*5*4)^n -30*(5*4*3)^n + 12*(4*3*2)^n - (3*2*1)^n = b(n) + 672*b(n-1) + 14400*b(n-2), with b(n) := A089514(n).

Crossrefs

Cf. A089514, A089517-8, A090219.

Sequence in context: A230909 A035758 A107554 * A206977 A206971 A206574

Adjacent sequences: A089516 A089517 A089518 * A089520 A089521 A089522

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 01 2003

Status

approved