44739243
domain: N
Appears in sequences
- Jacobsthal sequence (or Jacobsthal numbers): a(n) = a(n-1) + 2*a(n-2), with a(0) = 0, a(1) = 1; also a(n) = nearest integer to 2^n/3.at n=27A001045
- a(2*n) = 2*a(2*n-1), a(2*n+1) = 2*a(2*n)-1.at n=27A005578
- a(n) = (2^(2*n + 1) + 1)/3.at n=13A007583
- Primitive pseudo-powers to base 3.at n=19A016058
- a(n) = C(n,1) + C(n,4) + ... + C(n, 3*floor(n/3) + 1).at n=26A024494
- a(n) = C(n,2) + C(n,5) + ... + C(n, 3*floor(n/3)+2).at n=27A024495
- Condensed version of A064085: all terms of A064085 with values greater than 1 (which coincides with all terms of A064085 with nonprime power index).at n=28A064086
- Let u(1)=u(2)=u(3)=2, u(n)=(1+u(n-1)u(n-2))/u(n-3); then a(n) is the numerator of u(n).at n=28A076737
- Expansion of 1/((1-x)*(1+2*x)).at n=26A077925
- Triangular array read by rows: row s contains integers of the form (2^s+1)/(2^r+1) in order of increasing r <= s-1.at n=28A079665
- Jacobsthal reverse-pair sequence.at n=28A084183
- Generalized Jacobsthal sequence.at n=26A087629
- Pair reversal of Jacobsthal numbers.at n=26A092808
- Least integer value of (1 + 2^n + 3^n + ... + k^n)/(1 + 2 + 3 + ... + k), k > 1.at n=26A094755
- Expansion of (1 - 2*x + 2*x^2)/((1 - x^2)*(1 - 2*x)).at n=26A097072
- E.g.f. (1/cosh(x)+tanh(x))*(exp(2*x)-exp(-x))/3.at n=27A101480
- Column 2 of the array in A107735.at n=25A107733
- Numbers of the form (2^(i*j)-1)/((2^i-1)*(2^j-1)) where gcd(i,j) = 1.at n=26A112674
- Legendre-binomial transform of 2^n for p=3.at n=26A117976
- Legendre-binomial transform of 2^n for p=3.at n=25A117976