A102432 Number of distinct polynomials of degree < n and coefficients > 0 with solutions k > 1 such that p(k) = n.

1, 2, 3, 6, 7, 11, 12, 18, 21, 27, 28, 39, 40, 48, 52, 66, 67, 83, 84, 103, 108, 124, 125, 154, 157, 179, 186, 217, 218, 255, 256, 298, 305, 343, 347, 409, 410, 458, 467, 536, 537, 610, 611, 691, 705, 781, 782, 896, 899, 999, 1010, 1131, 1132, 1264, 1269, 1419

Offset: 1

Author

Marc LeBrun, Jan 08 2005

Keywords

• easy
• nonn

Examples

			a(4)=6 distinct polynomials: 4 (for all n), n+2, 2n, n^2 (for n=2), n+1 (for n=3), n (for n=4).
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A102430, A102431, A102433, A102434.

Formula

a(n) = A102431(n) - n + 2