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A098739 This sequence is constructed using only the four single digit primes 2,3,5,7 in that order. 0
2, 23, 235, 2357, 23572, 235723, 2357235, 23572357, 235723572, 2357235723 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..10.

Index to sequences with linear recurrences with constant coefficients, signature (10,0,0,1,-10)

FORMULA

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

MATHEMATICA

CoefficientList[Series[x (2+3x+5x^2+7x^3)/((x-1)(10x-1) (1+x)(1+x^2)), {x, 0, 50}], x]  (* Harvey P. Dale, Mar 20 2011 *)

CROSSREFS

Cf. A019518

Sequence in context: A093672 A159902 A118385 * A091762 A240959 A054261

Adjacent sequences:  A098736 A098737 A098738 * A098740 A098741 A098742

KEYWORD

nonn,base

AUTHOR

Parthasarathy Nambi, Sep 30 2004

STATUS

approved

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Last modified September 3 03:10 EDT 2014. Contains 246369 sequences.