S000123


Prefixes (first three terms) appearing in quadruples of S000118 and S000122.

1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 2, 1, 2, 3, 1, 2, 4, 1, 2, 5

1

S000123

T. D. Noe, Plot of 7 * 3 terms

L. E. Dickson, Integers represented by positive ternary quadratic forms, Bulletin of the American Math. Soc., vol XXXIII (1927), pp. 63-70.

The terms are
1, 1, 1: all positive integers of the form 4^k (8n + 7).
1, 1, 2: all positive odd integers.
1, 1, 3: all positive integers not divisible by 3.
1, 2, 2: all positive integers not of the form 4^k (8n + 7).
1, 2, 3: all positive integers not of the form 4^k (16n + 10).
1, 2, 4: all positive integers not of the form 4^k (16n + 14).
1, 2, 5: all positive integers of the form 4^k (16n + 14).

Cf. S000118, S000122.

nonn,fini,full

T. D. Noe, Jul 08 2014

© Tony D Noe 2014-2015