|
Search: id:A110703
|
|
|
| A110703 |
|
Numbers S with two neighboring run sums (sum of positive integer runs) S = a+(a+1)+..+b=(b+1)+(b+2)...+c, 0<a<b<c. |
|
+0
3
|
|
| 15, 27, 30, 42, 75, 90, 105, 135, 147, 165, 243, 252, 270, 273, 315, 363, 375, 378, 420, 462, 495, 507, 612, 660, 675, 693, 735, 750, 780, 810, 855, 858, 867, 945, 1050, 1083, 1155, 1170, 1215, 1287, 1323, 1365, 1470, 1485, 1518, 1587, 1785, 1815, 1875, 1950
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
If the two runs overlap in one number, the runs are Friends and their sums are A110701. The sums are the difference of two triangular numbers A000217.
|
|
REFERENCES
|
T. Verhoeff, Rectangular and Trapezoidal Arrangements, J. Integer Sequences, Vol. 2, 1999, #99.1.6.
|
|
LINKS
|
R. Knott Runsums
|
|
EXAMPLE
|
15 = 4+5+6 = 7+8 so 15 is in the ordered list a(n) as the smallest: a(1)=15.
|
|
CROSSREFS
|
Cf. A001227, A094550, A110701, A110702.
Sequence in context: A131541 A080945 A080946 this_sequence A091236 A053177 A145195
Adjacent sequences: A110700 A110701 A110702 this_sequence A110704 A110705 A110706
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Ron Knott (enquiry(AT)ronknott.com), Aug 04 2005
|
|
|
Search completed in 0.002 seconds
|
