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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

Table of n, a(n) for n=1..35.

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 A329392 A253322

Adjacent sequences:  A255997 A255998 A255999 * A256001 A256002 A256003

KEYWORD

nonn,more

AUTHOR

Zak Seidov, May 06 2015

EXTENSIONS

a(10), a(20)-a(35) from Chai Wah Wu, Jan 21 2016

STATUS

approved

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Last modified November 27 10:44 EST 2021. Contains 349366 sequences. (Running on oeis4.)