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A098739
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This sequence is constructed using only the four single digit primes 2,3,5,7 in that order.
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0
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OFFSET
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1,1
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COMMENTS
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The idea for the sequence came from how long DNA sequences are produced from only four bases, namely, A,T,G,C. Nature is able to produce remarkable species on Earth by permuting these four bases in an apparent random order. The connection between arrangement of DNA bases in the chromosomes of species and number system is poorly understood.
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LINKS
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Table of n, a(n) for n=1..10.
Index to sequences with linear recurrences with constant coefficients, signature (10,0,0,1,-10)
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FORMULA
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G.f. x*(2+3*x+5*x^2+7*x^3) / ( (x-1)*(10*x-1)*(1+x)*(1+x^2) ). - R. J. Mathar, Feb 03 2011
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MATHEMATICA
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CoefficientList[Series[x (2+3x+5x^2+7x^3)/((x-1)(10x-1) (1+x)(1+x^2)), {x, 0, 50}], x] (* From Harvey P. Dale, Mar 20 2011 *)
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CROSSREFS
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Cf. A019518
Sequence in context: A093672 A159902 A118385 * A091762 A054261 A019518
Adjacent sequences: A098736 A098737 A098738 * A098740 A098741 A098742
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KEYWORD
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nonn,base
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AUTHOR
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Parthasarathy Nambi, Sep 30 2004
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STATUS
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approved
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