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A261507 Fibonacci-numbered rows of Pascal's triangle. Triangle read by rows: T(n,k)= binomial(Fibonacci(n), k).

%I A261507 #85 Jan 24 2019 03:37:20
%S A261507 1,1,1,1,1,1,2,1,1,3,3,1,1,5,10,10,5,1,1,8,28,56,70,56,28,8,1,1,13,78,
%T A261507 286,715,1287,1716,1716,1287,715,286,78,13,1,1,21,210,1330,5985,20349,
%U A261507 54264,116280,203490,293930,352716,352716,293930,203490,116280,54264,20349,5985,1330,210,21,1
%N A261507 Fibonacci-numbered rows of Pascal's triangle. Triangle read by rows: T(n,k)= binomial(Fibonacci(n), k).
%C A261507 Subsequence of A007318.
%H A261507 Jean-François Alcover, <a href="/A261507/b261507.txt">Table of n, a(n) for n = 0..388</a> (corrected by _N. J. A. Sloane_, Jan 18 2019)
%F A261507 T(n, k) = binomial(fibonacci(n), k).
%F A261507 T(n, 1) = fibonacci(n) = A000045(n).
%F A261507 T(n, 2) = A191797(n) for n>3.
%e A261507 1,
%e A261507 1,  1,
%e A261507 1,  1,
%e A261507 1,  2,  1,
%e A261507 1,  3,  3,   1,
%e A261507 1,  5, 10,  10,   5,    1,
%e A261507 1,  8, 28,  56,  70,   56,   28,    8,    1,
%e A261507 1, 13, 78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13, 1
%t A261507 Table[Binomial[Fibonacci[n], k], {n, 0, 8}, {k, 0, Fibonacci[n]}]//Flatten (* _Jean-François Alcover_, Nov 12 2015*)
%o A261507 (PARI) v = vector(101,j,fibonacci(j)); i=0; n=0; while(n<100, for(k=0, n, print1(binomial(n, k), ", ","")); print(); i=i+1; n=v[i] ;)
%Y A261507 Cf. A000045, A007318.
%Y A261507 Cf. A036355, A037027, A228074, A162741, A034871, A034870, A191797.
%K A261507 less,nonn,tabf
%O A261507 0,7
%A A261507 _Maghraoui Abdelkader_, Aug 22 2015