112347
domain: N
Appears in sequences
- a(2*n) = floor( 17*2^n/14 ), a(2*n+1) = floor( 12*2^n/7 ).at n=33A003143
- Base-2 digits are, in order, the first n terms of the periodic sequence with initial period [1,1,0].at n=17A033129
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,3.at n=8A037604
- Numbers that are repdigits in base 8.at n=38A048333
- a(n) = (8^n - 1)*3/7.at n=6A083713
- a(n) = Sum[2^(A001651(i-1)-1), {i,1,n}].at n=11A113836
- Numbers k such that k^2+4, k^2+8, and k^2+10 are prime.at n=40A157929
- Numbers having in binary representation exactly two ones in three consecutive digits.at n=30A173593
- a(n) = arrange digits of concatenation of divisors of n (A037278, A176558) in increasing order in base 10 (zero digits are omitted).at n=33A243361
- Array read by antidiagonals: T(m,n) read in binary is a palindrome with m runs of n ones separated by single zeros.at n=26A249544
- a(n) = n*(6*n^2 - 8*n + 3).at n=27A272378
- Expansion of x*(1 + x)/((1-2*x)*(1+x+x^2)).at n=18A294627
- Positive integers m with binary expansion (b_1, ..., b_k) (where k = A070939(m)) such that b_i = [gcd(m, i)=1] for i = 1..k (where [] is an Iverson bracket).at n=25A320675
- (a(n-2) XOR a(n-1)) OR (highest bit of a(n-2))*2 OR 1; a(0)=2, a(1)=3.at n=31A334041
- Triangle T(n,k) in which the n-th row encodes the inverse of a 3n+1 X 3n+1 Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n+1).at n=51A363099
- Triangle T(n,k) in which the n-th row encodes the inverse of a 3n X 3n Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n).at n=45A363146