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A155574
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Intersection of A154777 and A092572: N = a^2 + 2b^2 = c^2 + 3d^2 for some positive integers a,b,c,d.
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1
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12, 19, 36, 43, 48, 57, 67, 73, 76, 97, 108, 129, 139, 144, 147, 163, 171, 172, 192, 193, 201, 211, 219, 228, 241, 268, 283, 291, 292, 300, 304, 307, 313, 324, 331, 337, 361, 379, 387, 388, 409, 417, 432, 433, 441, 457, 475, 484, 489, 499, 507, 513, 516, 523
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Subsequence of A155564 (where a,b,c,d may be zero).
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PROG
| (PARI) isA155574(n, /* optional 2nd arg allows us to get other sequences */c=[3, 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, isA155574(n) & print1(n", "))
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CROSSREFS
| Cf. A000404, A154777, A092572, A097268, A154778, A155716, A155717, A155560-A155578.
Sequence in context: A205718 A117539 A136770 * A119382 A166671 A104198
Adjacent sequences: A155571 A155572 A155573 * A155575 A155576 A155577
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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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