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.

A065494 Number of (binary) bit strings in which no even length block of 0's is followed by an even length block of 1's.

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%I A065494 #3 Oct 31 2015 15:16:45
%S A065494 1,2,4,8,15,30,57,112,216,420,815,1580,3069,5950,11552,22408,43487,
%T A065494 84378,163725,317700,616444,1196172,2321007,4503704,8738921,16956954,
%U A065494 32903164,63845000,123884479,240384374,466440273,905077080,1756205088
%N A065494 Number of (binary) bit strings in which no even length block of 0's is followed by an even length block of 1's.
%H A065494 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,3,2,-1).
%F A065494 O.g.f.: (1+x)^2/(1-3x^2-2x^3+x^4)
%e A065494 a(6)=64-7=57 because 000011, 001111, 001100, 001101, 100110, 010011, 110011 are forbidden.
%Y A065494 Cf. A061279 (forbids odd block 0's - odd block 1's), A065455, A065495, A065497.
%K A065494 nonn,easy
%O A065494 0,2
%A A065494 _Len Smiley_, Nov 24 2001