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A112981 a(1) = a(2) = a(3) = 1; for n>3: a(n) = a(n-1)^3 + a(n-2)^3 + a(n-3)^3. +0
1
1, 1, 1, 3, 29, 24417, 14557168544129, 3084826414596074361107793217201624802791 (list; graph; listen)
OFFSET

1,4

COMMENT

A cubic tribonacci sequence.

This is a cubic analogue of a tribonacci sequence A000213, similarly to A000283 being the quadratic analogue of the Fibonacci sequence A000045. a(4) and a(5) are primes; a(7) is semiprime; a(6) and a(8) have 3 prime factors. a(9) has 119 digits.

EXAMPLE

a(6) = 1^3 + 3^3 + 29^3 = 24417.

CROSSREFS

Cf. A000045, A000213, A000283.

Adjacent sequences: A112978 A112979 A112980 this_sequence A112982 A112983 A112984

Sequence in context: A133663 A006526 A139517 this_sequence A082792 A078242 A108739

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Jan 02 2006

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.


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