A094764 Trajectory of 7 under repeated application of the map n --> n + square excess of n.

7, 10, 11, 13, 17, 18, 20, 24, 32, 39, 42, 48, 60, 71, 78, 92, 103, 106, 112, 124, 127, 133, 145, 146, 148, 152, 160, 176, 183, 197, 198, 200, 204, 212, 228, 231, 237, 249, 273, 290, 291, 293, 297, 305, 321, 353, 382, 403, 406, 412, 424, 448, 455, 469, 497, 510, 536, 543

Offset

0,1

References

H. Brocard, Note 2837, L'Intermédiaire des Mathématiciens, 11 (1904), p. 239.

Links

Table of n, a(n) for n=0..57.

S. H. Weintraub, An interesting recursion, Amer. Math. Monthly, 111 (No. 6, 2004), 528-530.

Prog

(PARI) lista(nn) = {print1(n=7, ", "); for (k=2, nn, m = 2*n - sqrtint(n)^2; print1(m, ", "); n = m; ); } \\ Michel Marcus, Oct 24 2015

Crossrefs

Cf. A053186, A094761, A094763.

Sequence in context: A190231 A191875 A194418 * A066468 A347393 A088769

Adjacent sequences: A094761 A094762 A094763 * A094765 A094766 A094767

Keyword

nonn

Author

N. J. A. Sloane, Jun 10 2004

Status

approved