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, 80, 82, 83, 84, 86, 87, 89, 90, 91, 93, 94, 96, 97

Offset

1,2

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

a(n) = floor((7*n-3)/5). - Jason Yuen, May 27 2025

Mathematica

Floor[(7*Range[100] - 3)/5] (* Paolo Xausa, May 29 2025 *)

Crossrefs

Sequence in context: A135674 A371188 A195121 * A248233 A097432 A364153

Adjacent sequences: A047329 A047330 A047331 * A047333 A047334 A047335

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved