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Search: id:A016152
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| 0, 1, 12, 112, 960, 7936, 64512, 520192, 4177920, 33488896, 268173312, 2146435072, 17175674880, 137422176256, 1099444518912, 8795824586752, 70367670435840, 562945658454016, 4503582447501312, 36028728299487232
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OFFSET
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0,3
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FORMULA
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a(n)=[(8^(n+1))-4^(n+1)]/4. a(n)=12a(n-1)-32a(n-2), n>0; a(0)=1 - Barry E. Williams, Jan 17 2000
a(n)= (4^(n-1))*stirling2(n+1, 2), n>=0, with stirling2(n, m)=A008277(n, m).
a(n)= -4^(n-1)+2*8^(n-1).
E.g.f. for a(n+1), n>=0: diff((((exp(4*x)-1)/4)^2)/2!, x$2) = -exp(4*x)+2*exp(8*x).
G.f.: x/((1-4*x)*(1-8*x)).
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CROSSREFS
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Second column of triangle A075499.
Cf. A019677.
Adjacent sequences: A016149 A016150 A016151 this_sequence A016153 A016154 A016155
Sequence in context: A044344 A130838 A044725 this_sequence A089700 A083767 A124651
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KEYWORD
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nonn
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AUTHOR
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njas
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