This site is supported by donations to The OEIS Foundation.

 Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS". Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A113225 a(2n) = A011900(n), a(2n+1) = A001109(n+1). 3
 1, 1, 3, 6, 15, 35, 85, 204, 493, 1189, 2871, 6930, 16731, 40391, 97513, 235416, 568345, 1372105, 3312555, 7997214, 19306983, 46611179, 112529341, 271669860, 655869061, 1583407981, 3822685023, 9228778026, 22280241075, 53789260175 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n+1) - a(n) = A097075(n+1), a(n) + a(n+1) = A024537(n+1), a(n+2) - a(n+1) - a(n) = A105635(n+1). REFERENCES C. Dement, Floretion Integer Sequences (work in progress). LINKS FORMULA G.f.: y/(y^2-1) where y=x/(x^2+x-1) if offset=1. - Michael Somos, Sep 09 2006 G.f.: (-1+x+x^2)/((1-x)*(x+1)*(x^2+2*x-1)). Diagonal sums of A119468. - Paul Barry, May 21 2006 MAPLE seq(iquo(fibonacci(n, 2), 1)-iquo(fibonacci(n, 2), 2), n=1..30); # Zerinvary Lajos, Apr 20 2008 with(combinat):seq(ceil(fibonacci(n, 2)/2), n=1..30); # Zerinvary Lajos, Jan 12 2009 PROG Floretion Algebra Multiplication Program, FAMP Code: -2jbasejseq[B*C], B = - .5'i + .5'j - .5i' + .5j' - 'kk' - .5'ik' - .5'jk' - .5'ki' - .5'kj'; C = + .5'i + .5i' + .5'ii' + .5e (PARI) {a(n)=local(y); if(n<0, 0, n++; y=x/(x^2+x-1)+x*O(x^n); polcoeff( y/(y^2-1), n))} /* Michael Somos, Sep 09 2006 */ CROSSREFS Cf. A113224, A002315, A082639, A100828. Sequence in context: A024416 A076375 A190586 * A209450 A291013 A017924 Adjacent sequences:  A113222 A113223 A113224 * A113226 A113227 A113228 KEYWORD easy,nonn AUTHOR Creighton Dement, Oct 18 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.