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 A283331 a(n) = (Sum_{j=1..(K-1)/2} a(n-2*j+1)*a(n-2*j))/a(n-K) with a(1),...,a(K)=1, where K=7. 1
 1, 1, 1, 1, 1, 1, 1, 3, 5, 17, 89, 1529, 136169, 208203929, 9450306981389, 393518208756305576259, 218756933853729911666129962011049, 967245356889229414311807903425793640476269370763657, 138385630187929719100558260443148868172248984484844599503721372030874017578780705 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..24 Matthew Christopher Russell, Using experimental mathematics to conjecture and prove theorems in the theory of partitions and commutative and non-commutative recurrences, PhD Dissertation, Mathematics Department, Rutgers University, May 2016; see also. MATHEMATICA a[n_]:=If[n<8, 1, Sum[a[n - 2j + 1]*a[n-2j], {j, 3}]/a[n - 7]]; Table[a[n], {n, 1, 20}] (* Indranil Ghosh, Mar 17 2017 *) PROG (PARI) a(n)= if(n<8, 1, sum(j=1, 3, a(n - 2*j + 1)*a(n - 2*j))/a(n - 7)); for(n=1, 20, print1(a(n), ", ")) \\ Indranil Ghosh, Mar 17 2017 CROSSREFS Sequence in context: A281627 A102846 A100003 * A114161 A302199 A174722 Adjacent sequences:  A283328 A283329 A283330 * A283332 A283333 A283334 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 17 2017 EXTENSIONS More terms from Indranil Ghosh, Mar 17 2017 STATUS approved

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Last modified September 25 00:02 EDT 2020. Contains 337333 sequences. (Running on oeis4.)