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A019677 Expansion of 1/((1-4x)(1-8x)(1-12x)). 3
1, 24, 400, 5760, 77056, 989184, 12390400, 152862720, 1867841536, 22682271744, 274333696000, 3309180026880, 39847582498816, 479270434504704, 5760041038643200, 69190860134154240, 830853267268304896 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

a(n)= (4^n)*stirling2(n+3, 3), n>=0, with stirling2(n, m)=A008277(n, m).

a(n)= (4^n-8*8^n+9*12^n)/2.

G.f.: 1/((1-4*x)*(1-8*x)*(1-12*x)). E.g.f.: diff((((exp(4*x)-1)/4)^3)/3!, x$3) = (exp(4*x)-8*exp(8*x)+9*exp(12*x))/2.

CROSSREFS

Third column of triangle A075499.

Cf. A016152, A075907.

Sequence in context: A019687 A020341 A021674 * A021314 A018206 A021304

Adjacent sequences:  A019674 A019675 A019676 * A019678 A019679 A019680

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 08:58 EST 2012. Contains 205614 sequences.