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A075919
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Sixth column of triangle A075501.
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2
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1, 126, 9576, 571536, 29583792, 1395690912, 61756307712, 2609370796032, 106548747072768, 4239618914539008, 165370550603102208, 6351034526066700288, 240942052882092847104, 9052126728954680254464
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The e.g.f. given below is sum(A075513(6,m)*exp(6*(m+1)*x),m=0..5)/5!.
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FORMULA
| a(n)=A075501(n+6, 6)=(6^n)*S2(n+6, 6) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= sum(A075513(6, m)*((m+1)*6)^n, m=0..5)/5!.
G.f.: 1/product(1-6*k*x, k=1..6).
E.g.f.: diff((((exp(6*x)-1)/6)^6)/6!, x$6) = (-exp(6*x)+160*exp(12*x)-2430*exp(18*x)+10240*exp(24*x)-15625*exp(30*x)+7776*exp(36*x))/5!.
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CROSSREFS
| Cf. A075918, A075920.
Sequence in context: A037963 A202652 A156931 * A180885 A121004 A027491
Adjacent sequences: A075916 A075917 A075918 * A075920 A075921 A075922
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
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