A206375 Vinogradov's constants arising in enumeration of solutions to Waring's problem in the evil numbers (A001969).

8, 16, 32, 64, 128, 256, 512, 1024, 1758, 2128, 2536, 2982, 3466, 3988, 4550, 5152, 5792, 6474, 7194, 7956, 8758, 9600, 10484, 11408, 12376, 13384, 14432, 15524, 16658, 17834, 19052, 20314, 21618, 22964, 24354, 25786, 27262, 28780

Offset: 3

Author

Jonathan Vos Post, Feb 07 2012

Keywords

• nonn

Comments

From Lemma 2, p. 2, of Eminyan.

Examples

			a(11) = 2*floor( 11^2*(log(11) + log(log(11)) + 4) ) = 2*floor(879.970885...) = 2*879 = 1758.
		

Links

• K. M. Eminyan, Waring's problem in the natural numbers with binary expansions of a special type, arXiv:1202.1211v1 [math.NT], Feb 06 2012.

Crossrefs

Cf. A001969, A002804.

Formula

For 3 <= n <= 10 then 2^n; else if n > 10 then a(n) = 2*floor( n^2*(log(n) + log(log(n)) + 4) ).