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

3,1

Comments

From Lemma 2, p. 2, of Eminyan.

Links

Table of n, a(n) for n=3..40.

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.

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) ).

Example

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

Crossrefs

Cf. A001969, A002804.

Sequence in context: A048169 A089882 A335850 * A146541 A363014 A261976

Adjacent sequences: A206372 A206373 A206374 * A206376 A206377 A206378

Keyword

nonn

Author

Jonathan Vos Post, Feb 07 2012

Status

approved