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A094764 Trajectory of 7 under repeated application of the map n --> n + square excess of n. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 20 02:47 EDT 2022. Contains 353850 sequences. (Running on oeis4.)