A155574 Intersection of A154777 and A092572: N = a^2 + 2b^2 = c^2 + 3d^2 for some positive integers a,b,c,d.

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

Offset

1,1

Comments

Subsequence of A155564 (where a,b,c,d may be zero).

Links

Table of n, a(n) for n=1..54.

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", "))

Crossrefs

Cf. A000404, A154777, A092572, A097268, A154778, A155716, A155717, A155560-A155578.

Sequence in context: A117539 A246343 A136770 * A272100 A119382 A166671

Adjacent sequences: A155571 A155572 A155573 * A155575 A155576 A155577

Keyword

easy,nonn

Author

M. F. Hasler, Jan 25 2009

Status

approved