The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A256000 Numbers whose square can be written as sum of at least 3 consecutive triangular numbers in two ways. 0
286, 826, 2739, 3971, 5698, 9196, 10166, 10697, 22990, 61006, 132795, 416790, 766480, 809380, 2396870, 2904434, 3459006, 3688802, 4518514, 11725659, 13111098, 13998608, 15709122, 22173027, 22365267, 23636272, 23823988, 32186742, 33630662, 33658710, 39502086, 46387924, 59101625, 62381858, 89841192 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Apparently there is an infinity of such numbers and there are no cases of 3 ways.
LINKS
EXAMPLE
4518514^2 = T(18801)+..+T(50546) = T(52361)+..+T(64316), where T(n) = A000217(n).
CROSSREFS
Cf. A000217 (triangular numbers), A257274.
Sequence in context: A090089 A204379 A025384 * A253329 A356422 A329392
KEYWORD
nonn
AUTHOR
Zak Seidov, May 06 2015
EXTENSIONS
a(10), a(20)-a(35) from Chai Wah Wu, Jan 21 2016
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 24 03:56 EDT 2024. Contains 372771 sequences. (Running on oeis4.)