A094138 Values x+y of smallest pair (x,y) satisfying x^2 - 2*y^2=-+d, where d=A058529(n).

2, 3, 4, 6, 5, 8, 8, 6, 7, 11, 10, 10, 8, 13, 13, 11, 9, 14, 16, 10, 14, 13, 18, 11, 16, 16, 14, 19, 12, 21, 17, 20, 19, 13, 20, 23, 18, 16, 14, 21, 21, 20, 19, 17, 15, 22, 25, 25, 23, 22, 16, 28, 23, 28, 21, 26, 19, 17, 25, 24, 24, 22, 20, 18, 29, 25, 30, 28, 27, 23, 33, 28, 19

Offset: 1

Author

Lekraj Beedassy, May 04 2004

Keywords

• nonn

Comments

Here (x,y) is considered smaller than (u,v) iff x+y < u+v or (x+y = u+v and x < u).

Examples

			A058529(14) = 103; (5, 8), (11, 3), (17, 14), (21, 13), ... are pairs satisfying x^2 - 2*y^2 = -+103; (5, 8) is the smallest one, so a(14) = 5+8 = 13.
		

Crossrefs

Cf. A058529, A094136, A094137.

Programs

PARI

{for(n=1,690,fac=factor(n);v=vector(matsize(fac)[1],j,fac[j,1])%8;b=1;for(k=1,length(v),if(v[k]>1&&v[k]<7,b=0));if(b>0,print1(sp(n)[3],",")))} \\ For sp(n) see A094136.

Extensions

Edited, corrected and extended by Klaus Brockhaus May 31 2004