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 = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4. Also a(n) = sum of numbers in row n+1 of the array T defined in A026082 and a(n) = 24*3^(n-4) for n >= 4.
A026097
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 = 1,2,3; |s(i) - s(i-1)| <= 1 for i >= 4. Also a(n) = sum of numbers in row n+1 of the array T defined in A026082 and a(n) = 24*3^(n-4) for n >= 4.
Terms
- a(0) =1a(1) =2a(2) =4a(3) =8a(4) =24a(5) =72a(6) =216a(7) =648a(8) =1944a(9) =5832a(10) =17496a(11) =52488a(12) =157464a(13) =472392a(14) =1417176a(15) =4251528a(16) =12754584a(17) =38263752a(18) =114791256a(19) =344373768a(20) =1033121304a(21) =3099363912a(22) =9298091736a(23) =27894275208a(24) =83682825624a(25) =251048476872a(26) =753145430616
External references
- oeis: A026097