A137609 - OEIS

A137609

Consider a line in n-space given parametrically by y(t)=v*t, where v is the vector (2,3,5,..prime(n)). Let t0>0 be the least value of t such that y(t0) is closest to an integer point not on the line y(t). a(n) is t0 times v.v.

5, 15, 36, 91, 145, 305, 476, 729, 408, 1295, 1796, 1072, 1370, 1749, 2226, 2816, 3426, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229

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OFFSET

2,1

COMMENTS

See A059804 for the distance from y(t0) to the integer point. Observe that for n >= 19, a(n) = prime(n). For n >= 19, the closest integer point is (0,0,0,..,0,1).

LINKS

Table of n, a(n) for n=2..50.

CROSSREFS

Sequence in context: A053808 A111926 A369804 * A109818 A146797 A213487

Adjacent sequences: A137606 A137607 A137608 * A137610 A137611 A137612

KEYWORD

nonn

AUTHOR

T. D. Noe, Jan 29 2008

STATUS

approved