

A062295


A B_2 sequence: a(n) is the smallest square such that pairwise sums of not necessarily distinct elements are all distinct.


4



1, 4, 9, 16, 25, 36, 64, 81, 100, 169, 256, 289, 441, 484, 576, 625, 841, 1089, 1296, 1444, 1936, 2025, 2401, 2601, 3136, 4225, 4356, 4624, 5329, 5476, 5776, 6084, 7569, 9025, 10201, 11449, 11664, 12321, 12996, 13456, 14400, 16129, 17956, 20164, 22201
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OFFSET

1,2


LINKS

Klaus Brockhaus, Table of n, a(n) for n = 1..4944
Eric Weisstein's World of Mathematics, B2Sequence
Index entries for B_2 sequences


EXAMPLE

36 is in the sequence since the pairwise sums of {1, 4, 9, 16, 25, 36} are all distinct: 2, 5, 8, 10, 13, 17, 18, 20, 25, 26, 29, 32, 34, 37, 40, 41, 45, 50, 52, 61, 72.
49 is not in the sequence since 1 + 49 = 25 + 25.


CROSSREFS

Cf. A000290, A011185, A010672, A025582, A005282, A062292, A133743, A133744.
Sequence in context: A328558 A072862 A300303 * A238203 A068802 A254073
Adjacent sequences: A062292 A062293 A062294 * A062296 A062297 A062298


KEYWORD

nonn


AUTHOR

Labos Elemer, Jul 02 2001


EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, Sep 24 2007


STATUS

approved



