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A198774 Numbers having exactly three representations by the quadratic form x^2+xy+y^2 with 0<=x<=y. 8
637, 931, 1183, 1519, 1813, 1911, 2107, 2401, 2527, 2548, 2793, 2989, 3211, 3283, 3549, 3577, 3724, 3871, 4557, 4693, 4732, 4753, 5047, 5239, 5341, 5439, 5733, 6076, 6223, 6253, 6321, 6727, 6811, 7203, 7252, 7267, 7399, 7581, 7644, 7693, 7987, 8379, 8428 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A088534(a(n)) = 3; subsequence of A118886, see also A003136.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

EXAMPLE

a(1) = 637 = 4^2+4*23+23^2 = 7^2+7*21+21^2 = 12^2+12*17+17^2, A088534(637)=3;

a(2) = 931 = 1^2+1*30+30^2 = 9^2+9*25+25^2 = 14^2+14*21+21^2, A088534(273)=3.

PROG

(Haskell)

a198774 n = a198774_list !! (n-1)

a198774_list = filter ((== 3) . a088534) a003136_list

CROSSREFS

Cf. A198772, A198773, A198775.

Sequence in context: A202048 A251039 A203054 * A043483 A203042 A203887

Adjacent sequences:  A198771 A198772 A198773 * A198775 A198776 A198777

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Oct 30 2011

STATUS

approved

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Last modified December 5 03:30 EST 2016. Contains 278755 sequences.