Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={3}.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =14a(6) =27a(7) =51a(8) =98a(9) =187a(10) =357a(11) =683a(12) =1305a(13) =2494a(14) =4767a(15) =9110a(16) =17411a(17) =33276a(18) =63596a(19) =121544a(20) =232293a(21) =443954a(22) =848478a(23) =1621597a(24) =3099169a(25) =5923081a(26) =11320094a(27) =21634776a(28) =41348026a(29) =79023662