# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a026071 Showing 1-1 of 1 %I A026071 #8 Jun 23 2013 07:51:50 %S A026071 1,3,12,40,133,427,1352,4224,13080,40216,122980,374452,1136226, %T A026071 3438150,10380048,31279728,94114125,282804759,848886180,2545759328, %U A026071 7628718845,22845628531,68377674280,204560102800,611720539235,1828673918721 %N A026071 a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 4. Also a(n) = T(n,n-4), where T is the array defined in A024996. %C A026071 First differences of A025182. %F A026071 Conjecture: -(n-4)*(n+4)*a(n) +(4*n+7)*(n-4)*a(n-1) +(-2*n^2+23*n-12)*a(n-2) -(4*n+3)*(n-4)*a(n-3) +3*(n-4)*(n-5)*a(n-4)=0. - _R. J. Mathar_, Jun 22 2013 %K A026071 nonn %O A026071 4,2 %A A026071 _Clark Kimberling_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE