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A253810 The life of Diophantus. 0
0, 14, 21, 33, 38, 80, 84 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

From the riddle on the tombstone of Diophantus. See the reference and the links.

REFERENCES

H.-W. Alten et al., 4000 Jahre Algebra, 2. Auflage, Springer, 2014, p. 63.

LINKS

Table of n, a(n) for n=0..6.

David Pleacher, Diophantus' epitaph.

Eric Weisstein's World of Mathematics, Diophantus's Riddle.

Wikipedia, Diophantus.

FORMULA

a(0): birth (all numbers a(n) in years), a(1): boyhood ended, a(2): beard started to grow, a(3): marriage, a(4): birth of son, a(5): death of son, a(6): death of Diophantus.

EXAMPLE

a(1) = age/6,

a(2) = age*(1/6 + 1/12) = age/4,

a(3) = age*(1/4 + 1/7) = age*11/28,

a(4) = age*11/28 + 5,

a(5) = age(11/28 + 1/2) + 5 = age*25/28 + 5,

a(6) = age*25/28 + 5 + 4 = age,

hence age*(1-25/28) = 9, age = 28*3 = 84.

CROSSREFS

Sequence in context: A240593 A121495 A263990 * A084995 A100466 A100467

Adjacent sequences:  A253807 A253808 A253809 * A253811 A253812 A253813

KEYWORD

nonn,fini,full

AUTHOR

Wolfdieter Lang, Jan 31 2015

STATUS

approved

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Last modified July 28 09:43 EDT 2021. Contains 346325 sequences. (Running on oeis4.)