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Growth rates of simple integer recurrences

Posted by: Gary Ernest Davis on: June 5, 2012

The sequence of integers defined by – where , the floor of , is the greatest integer – begins 2, 3, 4, 6, 9, 13, 19, 28, 42, 63, 94, 141, 211, 316, 474, 711, 1066, 1599, 2398, 3597, 5395, 8092, 12138, 18207, 27310, 40965, 61447, 92170, 138255, 207382, 311073 and grows rapidly. One can numerically […]

The Centers for Disease Control and Prevention website has a very interesting series of graphics depicting adult obesity rates in the United States by State and by year from 1985 through 2010. Obesity for this purpose is defined as a body mass index (BMI) of 30 or above. The changes year by year are dramatic. […]

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