Search: id:A092899 Results 1-1 of 1 results found. %I A092899 %S A092899 1,3,7,15,19,27,31,39,43,51,55,63,67,75,79,87,91,99,103,111,115,123,127, %T A092899 135,139,147,151,159,163,171,175,183,187,195,199,207,211,219,223,231, %U A092899 235,243,247,255,259,267,271,279,283,291,295,303,307,315,319,327,331 %N A092899 Expansion of (1+2x+3x^2+6x^3)/((1+x)(1-x)^2). %C A092899 mod(A092899(n),4)=1,3,3,3,... = sum{k=0..n, mod(2^k,4)} Partial sums of 1,2,4,8,4,8,4,8.... %C A092899 Except for the first term, a(n)=12*n-a(n-1)-14 (with a(1)=3) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 28 2009] %F A092899 a(n)=4floor((n+1)/2)+4n-5+6*0^n; a(n)=sum{k=0...n, mod(A078008(k), 4)}+sum{k=0..n, 2*mod(A001045(k), 4)}. %F A092899 For n > 0, a(n) = 6*n - 4 - (-1)^n; a(n+3) = a(n+2) + a(n+1) - a(n) - Warut Roonguthai (warut822(AT)yahoo.com), Oct 19 2005 %Y A092899 Sequence in context: A098582 A089432 A111294 this_sequence A075694 A144751 A138847 %Y A092899 Adjacent sequences: A092896 A092897 A092898 this_sequence A092900 A092901 A092902 %K A092899 easy,nonn,new %O A092899 0,2 %A A092899 Paul Barry (pbarry(AT)wit.ie), Mar 12 2004 Search completed in 0.001 seconds