A105746 a(n) = minimal c>0 such that (n+1)^2+4*n*c = d^2 is a square.

3, 2, 4, 6, 8, 3, 12, 14, 16, 6, 20, 4, 24, 9, 7, 30, 32, 12, 36, 5, 8, 15, 44, 11, 48, 18, 52, 9, 56, 6, 60, 62, 15, 24, 20, 10, 72, 27, 16, 21, 80, 7, 84, 14, 11, 33, 92, 20, 96, 36, 23, 15, 104, 39, 12, 8, 24, 42, 116, 19, 120, 45, 39, 126, 35, 13, 132, 20, 31, 17, 140, 9, 144, 54

Offset

1,1

Comments

There is a family of solutions c = 2*n - 2, d = 3*n-1, which gives maximums at graphic of function c(n).

Links

Table of n, a(n) for n=1..74.

Crossrefs

Cf. A105734 - A105745.

Sequence in context: A264905 A254052 A371173 * A166309 A349472 A195208

Adjacent sequences: A105743 A105744 A105745 * A105747 A105748 A105749

Keyword

nonn

Author

Zak Seidov, Apr 19 2005

Status

approved