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A111044 Integers which can be written as a sum of at least 2 consecutive squares in at least 3 different ways. 5
147441, 910805, 1026745, 2403800, 2513434, 3198550, 11739805, 15053585, 18646301, 33313175, 93812510, 102939515, 134910295, 136448235, 151443110, 163998695, 195435485, 197780465, 213872920, 267043455, 461498779, 482204660, 554503705, 559990541, 601704095 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The smallest number which can be expressed in 4 such ways is 554503705, which is equal to the sum of squares of the integers in the closed intervals (480,1210), (3570,3612), (3613,3654) and (7442,7451). - Giovanni Resta, Jul 25 2007

LINKS

David W. Wilson, Table of n, a(n) for n = 1..754

Sebastien DUMORTIER, Perfect Numbers [Broken link?]

EXAMPLE

147441 = 85^2 + 86^2 + ... + 101^2 = 29^2 + 30^2 + ... + 77^2 = 18^2 + 19^2 + ... + 76^2;

910805 = 550^2 + 551^2 + 552^2 = 144^2 + 145^2 + ... + 178^2 = 35^2 + 36^2 + ... + 140^2;

1026745 = 716^2 + 717^2 = 51^2 + 52^2 + ... + 147^2 = 1^2 + 2^2 + ... + 145^2;

2403800 = 583^2 + 584^2 + ... + 589^2 = 368^2 + 369^2 + ... + 384^2 = 298^2 + 299^2 + ... + 322^2;

2513434 = 473^2 + 474^2 + ... + 483^2 = 286^2 + 287^2 + ... + 313^2 = 66^2 + 67^2 + ... + 198^2;

3198550 = 225^2 + 226^2 + ... + 275^2 = 127^2 + 128^2 + ... + 226^2 = 1^2 + 2^2 + ... + 212^2.

CROSSREFS

See also: A001653, A097812, A062681, A174069.

Sequence in context: A110084 A224587 A004670 * A189789 A204105 A015317

Adjacent sequences:  A111041 A111042 A111043 * A111045 A111046 A111047

KEYWORD

nonn

AUTHOR

Sébastien Dumortier, Oct 06 2005

EXTENSIONS

More terms from Giovanni Resta, Jul 25 2007

STATUS

approved

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Last modified February 18 15:30 EST 2020. Contains 332019 sequences. (Running on oeis4.)