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 A063914 Odd numbers interlaced with numbers 3m+2. 3
 1, 2, 3, 5, 5, 8, 7, 11, 9, 14, 11, 17, 13, 20, 15, 23, 17, 26, 19, 29, 21, 32, 23, 35, 25, 38, 27, 41, 29, 44, 31, 47, 33, 50, 35, 53, 37, 56, 39, 59, 41, 62, 43, 65, 45, 68, 47, 71, 49, 74, 51, 77, 53, 80, 55, 83, 57, 86, 59, 89, 61, 92, 63, 95, 65, 98, 67, 101, 69, 104, 71 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The reference gives the sequence without the initial 1 and then it is "alternate 3n+2 and 2n+3". An alternative solution for this sequence is to consider the first second differences repeat giving 2, 3, 5, 5, 8, 7, 11, 12, 14, 14, 17, 16, 20, 21. - Lorraine Gregory, Ed.D. (lgregory(AT)lssu.edu), Jan 19 2009 REFERENCES D. Dolan, J. Williamson and M. Muri, Mathematics Activities for Elementary School Teachers: A Problem Solving Approach, Addison Wesley Longman, Inc., NY, Fourth Edition (ISBN 0-201-61321-2), Chapter 1, Activity 2, #9. LINKS Harry J. Smith, Table of n, a(n) for n = 1..1000 FORMULA a(n) = 2*a(n-2)-a(n-4). G.f.: x*(1+2*x+x^2+x^3)/((1-x)^2*(1+x)^2). - Colin Barker, Mar 28 2012 MAPLE for n from 0 to 80 do printf(`%d, %d, `, 2*n+1, 3*n+2) od: MATHEMATICA nn=50; Riffle[Range[1, 2*nn, 2], 3*Range[0, nn]+2] (* Harvey P. Dale, Jan 16 2013 *) PROG (PARI) { for (n=1, 1000, if (n%2, a=n, a=3*n/2 - 1); write("b063914.txt", n, " ", a) ) } [Harry J. Smith, Sep 02 2009] CROSSREFS Sequence in context: A095413 A134871 A267453 * A209187 A166250 A174088 Adjacent sequences:  A063911 A063912 A063913 * A063915 A063916 A063917 KEYWORD nonn,easy AUTHOR Nancy Shaffer (nancys(AT)rose.net), Aug 30 2001 EXTENSIONS Better description from Brian Galebach, Sep 05, 2001 More terms from James A. Sellers, Sep 25 2001 STATUS approved

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Last modified June 22 14:32 EDT 2021. Contains 345380 sequences. (Running on oeis4.)