1331714

Appears in sequences

• Companion Pell numbers: a(n) = 2*a(n-1) + a(n-2), a(0) = a(1) = 2.at n=16A002203
• a(n) = a(n-1)^2 - 2, with a(0) = 6.at n=3A003423
• a(n) = 6*a(n-1) - a(n-2), with a(0) = 2, a(1) = 6.at n=8A003499
• Primitive parts of Pell numbers.at n=31A008555
• Product representation of the Pell numbers A000129 and A002203.at n=31A072280
• Expansion of (1+x^2)/(1-2*x-x^2).at n=16A099425
• 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=15A159582
• a(1)=4, a(2)=6; for n > 2, a(n) = 2*a(n-1) + a(n-2) - 4*((n-1) mod 2).at n=15A162485
• a(n) = A002203(n^2) for n>=1.at n=3A165938
• Numbers such that floor(a(n)^2 / 8) is again a square.at n=18A204514
• A modified Engel expansion for 4*sqrt(2) - 5.at n=11A220336
• Optimal ascending continued fraction expansion of sqrt(2)-1.at n=4A228931
• a(n) = n^4 + 8*n^3 + 20*n^2 + 16*n + 2.at n=32A304725