cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A211702 Rectangular array: R(n,k)=[n/F(1)]+[n/F(2)]+...+[n/F(k)], where [ ]=floor and F=A000045 (Fibonacci numbers), by antidiagonals.

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%I A211702 #6 May 03 2012 12:22:55
%S A211702 1,2,2,3,4,2,4,6,5,2,5,8,7,5,2,6,10,10,8,5,2,7,12,12,11,8,5,2,8,14,15,
%T A211702 13,11,8,5,2,9,16,17,17,14,11,8,5,2,10,18,20,19,18,14,11,8,5,2,11,20,
%U A211702 22,22,20,18,14,11,8,5,2,12,22,25,25,23,20,18,14,11,8,5,2,13
%N A211702 Rectangular array:  R(n,k)=[n/F(1)]+[n/F(2)]+...+[n/F(k)], where [ ]=floor and F=A000045 (Fibonacci numbers), by antidiagonals.
%C A211702 For n>=1, row n is a homogeneous linear recurrence sequence with palindromic recurrence coefficients in the sense described at A211701.  The sequence approached as a limit of the rows is described in the Comments section of A175346.
%e A211702 Northwest corner:
%e A211702 1...2...3...4....5....6....7
%e A211702 2...4...6...8....10...12...15
%e A211702 2...5...7...10...12...15...17
%e A211702 2...5...8...11...13...17...19
%e A211702 2...5...8...11...14...18...20
%e A211702 2...5...8...11...14...18...20
%t A211702 f[n_, m_] := Sum[Floor[n/Fibonacci[k]], {k, 1, m}]
%t A211702 TableForm[Table[f[n, m], {m, 1, 20}, {n, 1, 16}]]
%t A211702 Flatten[Table[f[n + 1 - m, m], {n, 1, 14}, {m, 1, n}]]
%Y A211702 Cf. A211701.
%K A211702 nonn,tabl
%O A211702 1,2
%A A211702 _Clark Kimberling_, Apr 19 2012