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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
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 A361180 A302199
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 March 19 01:34 EDT 2024. Contains 370952 sequences. (Running on oeis4.)