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A075916 Third column of triangle A075501. 3
1, 36, 900, 19440, 390096, 7511616, 141134400, 2611802880, 47870735616, 871982724096, 15819463296000, 286235993272320, 5170077903015936, 93275375604350976, 1681524519443251200, 30298254922942709760 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The e.g.f. given below is Sum_{m=0..2} A075513(3,m)*exp(6*(m+1)*x)/2!.

LINKS

Table of n, a(n) for n=0..15.

FORMULA

a(n) = A075501(n+3, 3) = (6^n)*S2(n+3, 3) with S2(n, m) := A008277(n, m) (Stirling2).

a(n) = (6^n - 8*12^n + 9*18^n)/2.

G.f.: 1/Product_{k=1..3} (1 - 6*k*x).

E.g.f.: (d^3/dx^3)(((exp(6*x)-1)/6)^3)/3! = (exp(6*x) - 8*exp(12*x) + 9*exp(18*x))/2!.

CROSSREFS

Cf. A016175, A075917.

Sequence in context: A169836 A248108 A233003 * A062150 A011811 A167250

Adjacent sequences:  A075913 A075914 A075915 * A075917 A075918 A075919

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 02 2002

STATUS

approved

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Last modified April 5 20:24 EDT 2020. Contains 333260 sequences. (Running on oeis4.)