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A089518 Third column (k=5) of array A078741 ((3,3)-Stirling2) divided by 9. 3
1, 138, 10476, 683208, 42315696, 2570768928, 155010407616, 9318969502848, 559578466388736, 33585275183251968, 2015370124337581056, 120928294183739148288, 7255843732407562776576, 435354129897768445943808 (list; graph; refs; listen; history; text; internal format)
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.

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

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Last modified February 3 05:52 EST 2023. Contains 360024 sequences. (Running on oeis4.)