A038501 Upper bound on minimal norm of a quadratic form where n runs over the odd primes.

1, 1, 2, 13, 34, 311, 1027, 13097, 830791, 3571637, 343729027, 8317846498, 42507358018, 1190957966624, 207446783316571, 42972383599819106, 263399640264083317, 66893661053152500843, 2896125979752486313692, 19472790611741252075400, 6423885211527441058125587

Offset

1,3

References

Harris Hancock, Development of the Minkowski Geometry of Numbers, Vol. I. p. 322, Dover NY 1964.

Links

Table of n, a(n) for n=1..21.

Formula

a(p) = floor(f((p-1)/2, p^((p-3)/2)) where p is an odd prime and f(n,d) = sqrt(d) * 2^n * Gamma(1+n/2) / (Gamma(1/2)^n * n ^(n/2)). - Sean A. Irvine, Jan 16 2021

Crossrefs

Sequence in context: A124024 A102229 A254965 * A009350 A063092 A338222

Adjacent sequences: A038498 A038499 A038500 * A038502 A038503 A038504

Keyword

nonn

Author

N. J. A. Sloane, Simon Plouffe

Extensions

More terms and title clarified by Sean A. Irvine, Jan 16 2021

Status

approved