|
Search: id:A094766
|
|
|
| A094766 |
|
Trajectory of 11 under repeated application of the map n -> n + 2*square excess of n (see A094765). |
|
+0
2
|
|
| 11, 15, 27, 31, 43, 57, 73, 91, 111, 133, 157, 183, 211, 241, 273, 307, 343, 381, 421, 463, 507, 553, 601, 651, 703, 757, 813, 871, 931, 993, 1057, 1123, 1191, 1261, 1333, 1407, 1483, 1561, 1641, 1723, 1807, 1893, 1981, 2071, 2163, 2257, 2353, 2451, 2551, 2653
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
The trajectory of 3 gives A002061 and 5 gives essentially the same trajectory as 3.
|
|
REFERENCES
|
S. H. Weintraub, An interesting recursion, Amer. Math. Monthly, 111 (No. 6, 2004), 528-530.
|
|
LINKS
|
S. H. Weintraub, An interesting recursion, Amer. Math. Monthly, 111 (No. 6, 2004), 528-530.
|
|
FORMULA
|
Numbers given satisfy a(n) = n^2 + 5n + 7, for n>2. - Ralf Stephan, Dec 04 2004
|
|
CROSSREFS
|
Cf. A053186, A094765, A002061.
Sequence in context: A087142 A158019 A054280 this_sequence A009407 A009433 A030099
Adjacent sequences: A094763 A094764 A094765 this_sequence A094767 A094768 A094769
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jun 10 2004
|
|
|
Search completed in 0.002 seconds
|
