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A115020
Count backwards from 100 in steps of 7.
1
100, 93, 86, 79, 72, 65, 58, 51, 44, 37, 30, 23, 16, 9, 2
OFFSET
0,1
COMMENTS
Sometimes used to gauge the concentration ability of a patient with Alzheimer's disease. The combination of a simple arithmetic operation with an unusual decrement forces the patient to rely on short-term memory for the computation. Most patients would stop when they get to 2, but the psychiatrist might be satisfied with the first five or so terms. In this capacity the sequence is mentioned a few times in the movie "Safe House" (1998) in which Mace Sowell (Patrick Stewart) tries to memorize the sequence and is asked it by the psychiatrist (Hector Elizondo). In real life, other decrements can be used; Fish (1996) suggests 3 and 4.
In the next-to-last episode of "Boston Legal," Denny Crane (William Shatner) is asked this sequence by a doctor while in an MRI machine. He gets confused at 86, following it with 81. (Both Shatner and Stewart have played captain of the Enterprise on TV.) - Wilfredo Lopez (chakotay147138274(AT)yahoo.com), Dec 03 2008
REFERENCES
Sharon Fish, "Alzheimer's: Caring for Your Loved One, Caring for Yourself", Wheaton, Illinois: Harold Shaw Publishers, 1996, p. 34
LINKS
Tanya Khovanova, Non Recursions
Robert Thomas Manning, The serial sevens test, Arch Intern Med. 142:6 (1982), p. 1192.
Wikipedia, Serial sevens
FORMULA
a(n) = 100 - 7n.
MATHEMATICA
Range[100, 2, -7] (* Harvey P. Dale, Apr 11 2014 *)
PROG
(PARI) a(n)=100-7*n \\ Charles R Greathouse IV, Feb 25 2019
(Scala) (0 to 14).map(100 - 7 * _) // Alonso del Arte, May 09 2019
CROSSREFS
First fifteen terms of A017005 backwards.
Sequence in context: A242615 A090292 A020993 * A169735 A096582 A308660
KEYWORD
easy,fini,full,nonn
AUTHOR
Robert Happelberg (roberthappelberg(AT)yahoo.com), Feb 23 2006
STATUS
approved