Ser Supremo SE (Segunda sEdición): Setenta y Seis, 76ers, Seventy Six

domingo, octubre 07, 2012

Setenta y Seis, 76ers, Seventy Six

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In mathematics

Seventy-six is a Lucas number, an automorphic number, a nontotient, a 14-gonal number, a centered pentagonal number, and a telephone number.
Since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member, 76 is an Erdős–Woods number.

The sequence of Lucas numbers begins:
$2,\;1,\;3,\;4,\;7,\;11,\;18,\;29,\;47,\;76,\;123,\; \ldots\;$
The sequence of automorphic numbers begins 1, 5, 6, 25, 76, 376, 625, 9376, ...

Nontotients numbers: 14, 26, 34, 38, 50, 62, 68, 74, 76, 86, 90, 94, 98, ...

Centered pentagonal numbers: 1, 6, 16, 31, 51, 76, 106, ...

Telephone numbers: 1, 1, 2, 4, 10, 26, 76, 232, 764, 2620, 9496, ...

Erdös-Woods numbers: 16, 22, 34, 36, 46, 56, 64, 66, 70, 76, 78, 86, 88, 92, 94, 96, 100, ...