%I A053599
%S A053599 1,3,7,13,23,37,59,89,135,197,291,417,607,861,1243,1753,2519,3541,5075,
%T A053599 7121,10191,14285,20427,28617,40903,57285,81859,114625,163775,229309,
%U A053599 327611,458681,655287,917429,1310643,1834929,2621359,3669933,5242795
%N A053599 Number of nonempty subsequences {s(k)} of 1...n such that the difference 
               sequence is palindromic.
%C A053599 Equals (n-1)-th row terms of triangle A152202 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Nov 29 2008]
%F A053599 a(1)=1, a(2)=3 and, for n>2, a(n)=2a(n-2)+2n-1.
%e A053599 For n=4 the 13 sequences are 1,2,3,4,12,13,14,23,24,34,123,234,1234.
%Y A053599 The first differences of A053599 gives A027383, the second differences 
               give A016116.
%Y A053599 A152202 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 29 2008]
%Y A053599 Sequence in context: A131205 A058682 A081995 this_sequence A136851 A155339 
               A122886
%Y A053599 Adjacent sequences: A053596 A053597 A053598 this_sequence A053600 A053601 
               A053602
%K A053599 nonn
%O A053599 1,2
%A A053599 John W. Layman (layman(AT)math.vt.edu), Jan 19 2000
%E A053599 Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006