A047332 Numbers that are congruent to {0, 2, 3, 5, 6} mod 7.

0, 2, 3, 5, 6, 7, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21, 23, 24, 26, 27, 28, 30, 31, 33, 34, 35, 37, 38, 40, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56, 58, 59, 61, 62, 63, 65, 66, 68, 69, 70, 72, 73, 75, 76, 77, 79

Offset

1,2

Links

Table of n, a(n) for n=1..57.

Melvyn B. Nathanson, On the fractional parts of roots of positive real numbers, Amer. Math. Monthly, 120 (2013), 409-429 [see p. 417].

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,1,-1).

Formula

a(n) = a(n-5)+7. O.g.f.: x^2*(2+x+2*x^2+x^3+x^4)/((-1+x)^2*(x^4+x^3+x^2+x+1)). - R. J. Mathar, Apr 19 2008

Crossrefs

Sequence in context: A135674 A371188 A195121 * A248233 A097432 A364153

Adjacent sequences: A047329 A047330 A047331 * A047333 A047334 A047335

Keyword

nonn

Author

N. J. A. Sloane

Status

approved