A155710 Intersection of A092572 and A154778: N = a^2 + 3b^2 = c^2 + 5d^2 for some positive integers a,b,c,d.

21, 36, 49, 61, 84, 109, 129, 144, 181, 189, 196, 201, 229, 241, 244, 301, 309, 324, 336, 349, 381, 409, 421, 436, 441, 469, 489, 516, 525, 541, 549, 576, 601, 661, 669, 709, 721, 724, 756, 769, 784, 804, 829, 849, 889, 900, 916, 921, 964, 976, 981, 1009, 1021

Offset

1,1

Comments

Subsequence of A155570 (where a,b,c,d may be zero).

Links

Table of n, a(n) for n=1..53.

Prog

(PARI) isA155710(n, /* use optional 2nd arg to get other analogous sequences */c=[5, 3]) = { 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, 1111, isA155710(n) & print1(n", "))

Crossrefs

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

Sequence in context: A219919 A219215 A342719 * A001491 A112352 A298472

Adjacent sequences: A155707 A155708 A155709 * A155711 A155712 A155713

Keyword

easy,nonn

Author

M. F. Hasler, Jan 25 2009

Status

approved