A089518 Third column (k=5) of array A078741 ((3,3)-Stirling2) divided by 9.

1, 138, 10476, 683208, 42315696, 2570768928, 155010407616, 9318969502848, 559578466388736, 33585275183251968, 2015370124337581056, 120928294183739148288, 7255843732407562776576, 435354129897768445943808

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..13.

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

Index entries for linear recurrences with constant coefficients, signature (90, -1944, 8640).

Formula

G.f.: (1+48*x)/((1-3*2*1*x)*(1-4*3*2*x)*(1-5*4*3*x)).

a(n)= (10*(5*4*3)^n - 8*(4*3*2)^n + (3*2*1)^n)/3 = b(n) + 48*b(n-1), with b(n) := A089513(n).

Crossrefs

Cf. A089513 (third column of A089504), A089519, A090219.

Sequence in context: A213963 A279964 A163693 * A223192 A199839 A005447

Adjacent sequences: A089515 A089516 A089517 * A089519 A089520 A089521

Keyword

nonn,easy

Author

Wolfdieter Lang, Dec 01 2003

Status

approved