Search: id:A090162
Results 1-1 of 1 results found.

%I A090162
%S A090162 1,3003,61218182743304701891431482520
%N A090162 Values of binomial(Fibonacci(2k)Fibonacci(2k+1),Fibonacci(2k-1)Fibonacci(2k)-1).
%C A090162 These numbers are known to occur at least six times in Pascal's triangle.
%C A090162 The next term is approximately 3.537 * 10^204 and is too large to include.
%C A090162 Equals binomial(A089508(n), A081016(n-1)) which is also binomial(A089508(n)+1, 
               A081016(n-1)-1).
%C A090162 The numbers of digits in a(n), n>=1, are given in A100022.
%D A090162 A. I. Shirshov: On the equation binomial(n,m)=binomial(n+1,m-1), pp. 
               83-86, in: Kvant Selecta: Algebra and Analysis, I, ed. S. Tabachnikov, 
               Am. Math. Soc., 1999
%H A090162 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PascalsTriangle.html">Pascal's Triangle</a>
%Y A090162 Cf. A081016, A089508, A003015, A062527.
%Y A090162 Sequence in context: A100896 A140915 A140928 this_sequence A031818 A152207 
               A004228
%Y A090162 Adjacent sequences: A090159 A090160 A090161 this_sequence A090163 A090164 
               A090165
%K A090162 nonn,nice,bref
%O A090162 1,2
%A A090162 Eric Weisstein (eric(AT)weisstein.com), Nov 23, 2003 and Wolfdieter Lang 
               (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Dec 01 2003

Search completed in 0.001 seconds