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 A168097 a(n) = number of natural numbers m such that n - 7 <= m <= n + 7. 0
 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 (list; graph; refs; listen; history; text; internal format)
 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(n-1,k) + 1 = n + k for 0 <= n <= k, a(n,k) = a(n-1,k) = 2k + 1 for n >= k + 1 (see, e.g., A158799). LINKS FORMULA a(n) = 7 + n for 0 <= n <= 7, a(n) = 15 for n >= 8. G.f.: (7 - 6*x - x^9)/(1-x)^2. - G. C. Greubel, Jul 12 2016 MATHEMATICA CoefficientList[Series[(7 - 6*x - x^9)/(1 - x)^2, {x, 0, 25}], x] (* G. C. Greubel, Jul 12 2016 *) CROSSREFS Cf. A000027. Sequence in context: A196278 A006969 A195935 * A020719 A162787 A182308 Adjacent sequences:  A168094 A168095 A168096 * A168098 A168099 A168100 KEYWORD nonn,less AUTHOR Jaroslav Krizek, Nov 18 2009 STATUS approved

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Last modified May 25 07:56 EDT 2020. Contains 334585 sequences. (Running on oeis4.)