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A155709 Intersection of A154777 and A155716: N = a^2 + 2b^2 = c^2 + 6d^2 for some positive integers a,b,c,d. 1
22, 33, 73, 88, 97, 118, 121, 132, 150, 166, 177, 193, 198, 214, 225, 241, 249, 262, 292, 294, 297, 313, 321, 337, 352, 358, 388, 393, 409, 433, 438, 441, 454, 457, 472, 484, 502, 528, 537, 550, 577, 582, 600, 601, 649, 657, 664, 673, 681, 694, 708, 726, 753 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A155569 (where a,b,c,d may be zero).

PROG

(PARI) isA155709(n, /* optional 2nd arg allows us to get other sequences */c=[6, 2]) = { for(i=1, #c, for(b=1, sqrtint((n-1)\c[i]), issquare(n-c[i]*b^2) & next(2)); return); 1}

for( n=1, 999, isA155709(n) & print1(n", "))

CROSSREFS

Cf. A000404, A154777, A092572, A097268, A154778, A155716, ...

Sequence in context: A131317 A176597 A067087 * A095044 A020151 A071265

Adjacent sequences:  A155706 A155707 A155708 * A155710 A155711 A155712

KEYWORD

easy,nonn

AUTHOR

M. F. Hasler (www.univ-ag.fr/~mhasler), Jan 25 2009

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Last modified February 14 02:37 EST 2012. Contains 205567 sequences.