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Search: id:A074189
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| A074189 |
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a(1) = 1, a(2) = 2; for n > 2, a(n) = {a(n-1) +a(n+1)}/n or a(n+1) = n*a(n)-a(n-1). |
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+0
1
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| -1, 1, 2, 3, 7, 25, 118, 683, 4663, 36621, 324926, 3212639, 35014103, 416956597, 5385421658, 74978946615, 1119298777567, 17833801494457, 302055326628202, 5419162077813179
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n+2) = (n+1)*a(n+1)-a(n); a(0) = -1, a(1) = 1; a(2) = 2. G.f. A(x) = sum(a(n)*x^n) is a solution of the differential equation (x^2)*A'(x)-(1+x^2)*A(x) = 1-x - Bruce Corrigan (scentman(AT)myfamily.com), Oct 19 2002
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EXAMPLE
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a(6) = 5*a(5)-a(4) = 5*25-7 = 118.
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CROSSREFS
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Sequence in context: A129724 A094697 A095910 this_sequence A091230 A063852 A092983
Adjacent sequences: A074186 A074187 A074188 this_sequence A074190 A074191 A074192
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KEYWORD
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sign
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 20 2002
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EXTENSIONS
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More terms from Bruce Corrigan (scentman(AT)myfamily.com), Oct 19 2002
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