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A155573
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Intersection of A000404, A154777 and A092572: N = a^2 + b^2 = c^2 + 2d^2 = e^2 + 3f^2 for some positive integers a,b,c,d,e,f.
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0
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73, 97, 193, 241, 292, 313, 337, 388, 409, 433, 457, 577, 601, 657, 673, 769, 772, 873, 900, 937, 964, 1009, 1033, 1129, 1153, 1156, 1168, 1201, 1249, 1252, 1297, 1321, 1348, 1489, 1521, 1552, 1609, 1636, 1657, 1732, 1737, 1753, 1777, 1801, 1825, 1828
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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PROG
| (PARI) isA155573(n, /* optional 2nd arg allows us to get other sequences */c=[3, 2, 1]) = { 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, 1999, isA155573(n) & print1(n", "))
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CROSSREFS
| Cf. A000404, A154777, A092572, A097268, A154778, A155716, A155717, A155560-A155578.
Sequence in context: A034848 A168110 A139972 * A141375 A107008 A140621
Adjacent sequences: A155570 A155571 A155572 * A155574 A155575 A155576
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KEYWORD
| easy,nonn
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AUTHOR
| M. F. Hasler (www.univ-ag.fr/~mhasler), Jan 25 2009
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