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Search: id:A036247
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| A036247 |
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Numerator of fraction equal to the continued fraction [ 2, 3, 5, ...p(n) ]. |
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+0
5
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| 2, 7, 37, 266, 2963, 38785, 662308, 12622637, 290982959, 8451128448, 262275964847, 9712661827787, 398481410904114, 17144413330704689, 806185907954024497, 42744997534894003030, 2522761040466700203267
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(1)=2; a(2)=7; for n>2: a (n)=prime(n)*a(n-1)+a(n-2) [From Zak Seidov (zakseidov(AT)yahoo.com), Nov 07 2008]
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MATHEMATICA
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a[1]=2; a[2]=7; a[n_]:=Prime[n]*a[n-1]+a[n-2]; Table[a[n], {n, 20}] [From Zak Seidov (zakseidov(AT)yahoo.com), Nov 07 2008]
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PROGRAM
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(PARI) a(n)=if(n<0, 0, contfracpnqn(vector(n, i, prime(i)))[1, 1])
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CROSSREFS
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Cf. A036248.
Sequence in context: A001515 A144301 A083659 this_sequence A107877 A001028 A116481
Adjacent sequences: A036244 A036245 A036246 this_sequence A036248 A036249 A036250
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KEYWORD
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frac,nonn
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AUTHOR
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Jeff Burch (gburch(AT)erols.com)
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EXTENSIONS
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More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), May 25 2003
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