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Search: id:A075923
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| 1, 70, 3185, 120050, 4084101, 130590390, 4012419145, 120031392250, 3525181576301, 102196720335710, 2935410756419505, 83751552660170850, 2377917929557166101, 67273652916778177030, 1898215473677945050265
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OFFSET
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0,2
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COMMENT
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The e.g.f. given below is sum(A075513(4,m)*exp(7*(m+1)*x),m=0..3)/3!.
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FORMULA
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a(n)=A075502(n+4, 4)=(7^n)*S2(n+4, 4) with S2(n, m) := A008277(n, m) (Stirling2).
a(n)= (-7^n+24*14^n-81*21^n+64*28^n)/3!.
G.f.: 1/product(1-7*k*x, k=1..4).
E.g.f.: diff((((exp(7*x)-1)/7)^4)/4!, x$4) = (-exp(7*x)+24*exp(14*x)-81*exp(21*x)+64*exp(28*x))/3!.
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CROSSREFS
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Cf. A075922, A075924.
Sequence in context: A017733 A004377 A069296 this_sequence A089274 A064114 A146349
Adjacent sequences: A075920 A075921 A075922 this_sequence A075924 A075925 A075926
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Oct 02, 2002
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