|
|
A062712
|
|
Numbers that are n-gons for three or more n's, where n=3,4,5,...,16.
|
|
3
|
|
|
1, 15, 36, 45, 325, 561, 1225, 1540, 3025, 4186, 11781, 40755, 41041, 58311, 121771, 221445, 1334161, 1413721, 1777555, 3000025, 5785101, 27169506, 36855405, 113123361, 321197185, 1167483681, 1533776805, 1631432881
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertains 185-99 (2d ed. 1966)
|
|
LINKS
|
|
|
EXAMPLE
|
45 is a triangular, hexagonal and hexadecagonal number
|
|
MATHEMATICA
|
Select[Tally[Flatten[Table[PolygonalNumber[b, Range[10^6]], {b, 3, 16}]]], #[[2]]>2&][[;; , 1]]//Union (* Harvey P. Dale, Aug 26 2023 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|