

A168096


a(n) = number of natural numbers m such that n  6 <= m <= n + 6.


0



6, 7, 8, 9, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13
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OFFSET

0,1


COMMENTS

Generalization: If a(n,k) = number of natural numbers m such that n  k <= m <= n + k (k >= 1) then a(n,k) = a(n1,k) + 1 = n + k for 0 <= n <= k, a(n,k) = a(n1,k) = 2k + 1 for n >= k + 1 (see, e.g., A158799).


LINKS

Table of n, a(n) for n=0..54.


FORMULA

a(n) = 6 + n for 0 <= n <= 6, a(n) = 13 for n >= 7.
G.f.: (6  5*x  x^8)/(1x)^2.  G. C. Greubel, Jul 12 2016


MATHEMATICA

CoefficientList[Series[(6  5*x  x^8)/(1  x)^2, {x, 0, 25}], x] (* G. C. Greubel, Jul 12 2016 *)


CROSSREFS

Cf. A000027.
Sequence in context: A168679 A102304 A114459 * A030546 A028253 A020715
Adjacent sequences: A168093 A168094 A168095 * A168097 A168098 A168099


KEYWORD

nonn,less


AUTHOR

Jaroslav Krizek, Nov 18 2009


STATUS

approved



