|
| |
|
|
A162700
|
|
Numbers n which are concatenations n=x//y such y^2-x^2 = n.
|
|
1
| |
|
|
48, 3468, 10101, 16128, 34188, 140400, 190476, 216513, 300625, 334668, 416768, 484848, 530901, 2341548, 2661653, 16604400, 33346668, 59809776, 101010101, 3333466668, 4848484848, 4989086476, 18516137328, 30534177388, 56734244853
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Cases with leading zeros of y are not considered.
|
|
|
EXAMPLE
| 48=4//8=8^2-4^2. 10101=10//101 = 101^2-10^2. 16128=16//128= 128^2-16^2.
|
|
|
MAPLE
| Lton := proc(L) add( op(i, L)*10^(i-1), i=1..nops(L)) ; end:
for n from 10 do dgs := convert(n, base, 10) ; for spli from 1 to nops(dgs)-1 do ydgs := [op(1..spli, dgs)] ; xdgs := [op(spli+1..nops(dgs), dgs)] ; if op(-1, ydgs) <> 0 then x := Lton(xdgs) ; y := Lton(ydgs) ; if y^2-x^2 = n then print(n) ; fi; fi; od: od: # R. J. Mathar, Jul 16 2009
|
|
|
CROSSREFS
| Sequence in context: A206046 A079240 A203488 * A027567 A033475 A053060
Adjacent sequences: A162697 A162698 A162699 * A162701 A162702 A162703
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Claudio L Meller (claudiomeller(AT)gmail.com), Jul 11 2009
|
|
|
EXTENSIONS
| keyword:base added, definition rephrased, values sorted by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 16 2009
More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Nov 19 2009
|
| |
|
|
