63018038201
domain: N
Appears in sequences
- Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2).at n=29A001333
- NSW numbers: a(n) = 6*a(n-1) - a(n-2); also a(n)^2 - 2*b(n)^2 = -1 with b(n) = A001653(n+1).at n=14A002315
- Product representation of the Pell numbers A000129 and A002203.at n=28A072280
- Expansion of (1+x)/(1-2*x-x^2).at n=28A078057
- a(1) = 1, a(2) = 2; a(2*k) = 2*a(2*k-1) - a(2*k-2), a(2*k+1) = 4*a(2*k) - a(2*k-1).at n=28A084068
- Primes found among the numerators of the continued fraction rational approximations to sqrt(2).at n=8A086395
- Numerators of the rational convergents to sqrt(2) if both numerators and denominators are primes.at n=3A086397
- Expansion of e.g.f.: cosh(sqrt(2)*x)*(1+exp(x)).at n=29A088014
- NSW primes: NSW numbers that are also prime.at n=4A088165
- Expansion of (1+2*x-2*x^3-3*x^2)/((x-1)*(x+1)*(x^2+2*x-1)).at n=28A100828
- Interlaces "2*n^2 - 1 is a square" with NSW numbers.at n=29A104683
- a(2n) = A002315(n), a(2n+1) = A082639(n+1).at n=28A113224
- Logarithmic derivative of the g.f. of A113281.at n=28A113282
- Sum of all n-digit Pell numbers.at n=10A131621
- A005319 and A002315 interleaved.at n=29A143608
- Expansion of (1+6*x+x^2-2*x^3)/((x^2+2*x-1)*(x^2-2*x-1)), bisection is NSW numbers.at n=28A159582
- Prime pairs (p,q) of the form p=A002315(k), q=A001653(k) for some k.at n=4A163742
- Numbers k such that k^2+1 = 2*p^2, p prime.at n=4A183064
- Primes whose squares are not the sums of two consecutive nonsquares.at n=9A257553