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 A155564 Intersection of A002479 and A003136: N = a^2 + 2b^2 = c^2 + 3d^2 for some integers a,b,c,d. 1
 0, 1, 3, 4, 9, 12, 16, 19, 25, 27, 36, 43, 48, 49, 57, 64, 67, 73, 75, 76, 81, 97, 100, 108, 121, 129, 139, 144, 147, 163, 169, 171, 172, 192, 193, 196, 201, 211, 219, 225, 228, 241, 243, 256, 268, 283, 289, 291, 292, 300, 304, 307, 313, 324, 331, 337, 361, 363 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Contains A155574 as a subsequence (obtained by restricting a,b,c,d to be nonzero). Also contains A000290 (squares) as subsequence. LINKS Table of n, a(n) for n=1..58. PROG (PARI) isA155564(n, /* use optional 2nd arg to get other analogous sequences */c=[3, 2]) = { for(i=1, #c, for(b=0, sqrtint(n\c[i]), issquare(n-c[i]*b^2) & next(2)); return); 1} for( n=1, 500, isA155564(n) & print1(n", ")) CROSSREFS Cf. A001481, A002479, A003136, A002481, A020668 ff. Sequence in context: A127163 A058503 A112169 * A105137 A243185 A336166 Adjacent sequences: A155561 A155562 A155563 * A155565 A155566 A155567 KEYWORD easy,nonn AUTHOR M. F. Hasler, Jan 25 2009 STATUS approved

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Last modified June 9 10:32 EDT 2023. Contains 363178 sequences. (Running on oeis4.)