29718

Appears in sequences

• Solution to a Pellian equation: least x such that x^2 - n*y^2 = +- 1.at n=60A006702
• Number of proper factorizations of p1^n*p2^7, where p1 and p2 are distinct primes.at n=12A031130
• Numerators of continued fraction convergents to sqrt(61).at n=10A041106
• Reversion of y - y^2 - y^5.at n=11A063021
• a(n) is smallest natural number a satisfying Pell equation a^2 - d(n)*b^2= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n).at n=53A077232
• Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least m for which m^2+1=p(n)*k^2 has a solution.at n=7A094048
• Smallest integer x satisfying the Pell equation x^2-k*y^2=-1 for the values of k given in A031396.at n=13A130226
• First member of a pair of numbers occurring in the definition of 1-happy couples.at n=36A191860
• x-values in the solution to the Pell equation x^2 - 61*y^2 = -1.at n=0A228544
• a(n) = n*(n^2 + 3)/2.at n=39A229183
• Value x in the solution of x^2-D*y^2=-1 as D runs through A003654.at n=11A249021
• First member R0(n) of the smallest positive pair (R0(n), S0(n)) for the n-th 1-happy number couple (B(n), C(n)).at n=35A263006
• Bases b for which there exists an integer y such that y^3 in base b looks like [c,d,c,d] for some base-b digits c, d.at n=49A290176
• Number of partitions of n whose greatest part is a multiple of 3.at n=45A363045
• Minimized zeroless factorials.at n=39A374265
• G.f. A(x) satisfies A( x*A(x) - A(x)^2 ) + A(x)^3 = 0.at n=10A389538
• G.f. A(x) satisfies A( x*A(x)^3 + A(x)^5 ) = A(x)^4.at n=10A392209